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Academic literature on the topic 'Nilpotente'

Author: Grafiati

Published: 10 March 2023

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Journal articles on the topic "Nilpotente"

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Chaudouard, Pierre-Henri, and Gérard Laumon. "SUR LE COMPTAGE DES FIBRÉS DE HITCHIN NILPOTENTS." Journal of the Institute of Mathematics of Jussieu 15, no. 1 (August 7, 2014): 91–164. http://dx.doi.org/10.1017/s1474748014000292.

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Cet article est une contribution à la fois au calcul du nombre de fibrés de Hitchin sur une courbe projective et à l’explicitation de la partie nilpotente de la formule des traces d’Arthur-Selberg pour une fonction test très simple. Le lien entre les deux questions a été établi dans [Chaudouard, Sur le comptage des fibrés de Hitchin. À paraître aux actes de la conférence en l’honneur de Gérard Laumon]. On décompose cette partie nilpotente en une somme d’intégrales adéliques indexées par les orbites nilpotentes. Pour les orbites de type «régulières par blocs», on explicite complètement ces intégrales en termes de la fonction zêta de la courbe.

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Dettmann, Beate. "Schwach Nilpotente Gruppen." Results in Mathematics 19, no. 1-2 (March 1991): 54–56. http://dx.doi.org/10.1007/bf03322415.

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Von Walcher, S. "Über homogene nilpotente Polynome." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 56, no. 1 (December 1986): 153–55. http://dx.doi.org/10.1007/bf02941513.

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Fidelis, Marcello, and José Roger de Oliveira Gomes. "Uma abordagem elementar para uma descrição do subgrupo de Fitting e do radical solúvel de um grupo finito G." REMAT: Revista Eletrônica da Matemática 7, no. 2 (December 15, 2021): e3005. http://dx.doi.org/10.35819/remat2021v7i2id5193.

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Este trabalho apresenta uma abordagem que prioriza o uso dos Teoremas do Isomorfismo de Grupos para estudar os grupos solúveis e os grupos nilpotentes com vistas a descrever o radical solúvel S(G) como o maior subgrupo normal solúvel do grupo finito G e o subgrupo de Fitting F(G) como o maior subgrupo normal nilpotente de um grupo finito G. Como aplicação, mostramos que esta descrição nos permite verificar que S(G) e F(G) são exemplos de uma classe de subgrupos definida em Deaconescu e Walls (2011) para os quais vale uma generalização de um resultado clássico que relaciona um grupo G com seu grupo de automorfismos Aut(G).

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Tani, Gabriella Corsi. "p-gruppi finiti con automorfo nilpotente." Rendiconti del Seminario Matematico e Fisico di Milano 58, no. 1 (December 1988): 55–66. http://dx.doi.org/10.1007/bf02925230.

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Michel, Horst. "Nilpotente Endomorphismen von freien abelschen Gruppen." Publicationes Mathematicae Debrecen 18, no. 1-4 (July 1, 2022): 261–72. http://dx.doi.org/10.5486/pmd.1971.18.1-4.29.

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Von Jantzen, J. C. "Kohomologie vonp-Lie-Algebren und nilpotente Elemente." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 56, no. 1 (December 1986): 191–219. http://dx.doi.org/10.1007/bf02941516.

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Félix, Yves, and Jean-Claude Thomas. "Le tor differentiel d'une fibration non nilpotente." Journal of Pure and Applied Algebra 38, no. 2-3 (November 1985): 217–33. http://dx.doi.org/10.1016/0022-4049(85)90010-6.

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Golasiński, Marek. "On homotopy nilpotency." Glasnik Matematicki 56, no. 2 (December 23, 2021): 391–406. http://dx.doi.org/10.3336/gm.56.2.10.

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We review established and recent results on the homotopy nilpotence of spaces. In particular, the homotopy nilpotency of the loop spaces \(\Omega(G/K)\) of homogenous spaces \(G/K\) for a compact Lie group \(G\) and its closed homotopy nilpotent subgroup \(K \lt G\) is discussed.

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Fanaï, Hamid-Reza. "Sur un type particulier de valeur propre des solvariétés d'Einstein." Bulletin of the Australian Mathematical Society 68, no. 1 (August 2003): 39–43. http://dx.doi.org/10.1017/s0004972700037394.

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On montre que la partie nilpotente d'une solveriété d'Einstein standard, dont le type de valeur propre est égal à (1 < 2; d1, d2), est nécessairement indécomposable si d1 et d2 sont premiers entre eux.

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Dissertations / Theses on the topic "Nilpotente"

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Ribnere, Evija. "Engelbedingungen für nilpotente und auflösbare Gruppen." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=983427631.

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Peters, Christoph. "Blätterungen von Nilmannigfaltigkeiten." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=967209927.

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Gomez, John Hermes Castillo. "Propriedades de Lie de elementos simétricos sob involuções orientadas em álgebras de grupo." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-04012013-170011/.

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Sejam $F$ um corpo de característica diferente de $2$ e $G$ um grupo. A partir da involução clássica, que envia cada elemento em seu inverso, e uma orientação do grupo $G$ é possível definir uma involução clássica orientada na álgebra de grupo $FG$. O objetivo desta tese é estudar propriedades de Lie do conjunto dos elementos simétricos $(FG)^+$ e, em alguns casos, do conjunto dos elementos anti-simétricos $(FG)^-$. Primeiro, abordamos o caso quando $G$ não tem elementos de ordem $2$. Aqui, mostramos que se $(FG)^+$ (ou $(FG)^-$) é Lie nilpotente ou Lie $n$-Engel, então $FG$ também é Lie nilpotente ou Lie $m$-Engel, respectivamente. Depois, consideramos o caso quando $G$ contém uma cópia do grupo quatérnio de ordem $8$. Neste caso, caracterizamos completamente as álgebras de grupo tais que $(FG)^+$ é fortemente Lie nilpotente, Lie nilpotente e Lie $n$-Engel. Como consequência, provamos que o conjunto das unidades simétricas deste tipo de grupos é nilpotente. Estudamos também o caso em que quando $G$ não contém uma cópia do grupo quatérnio de ordem $8$. Em particular, apresentamos um exemplo que mostra que os resultados obtidos em pesquisas anteriores, com a involução clássica, não devem ser esperados ao trabalhar com involuções clássicas orientadas. Não entanto, damos alguns casos especiais de grupos nos quais esses resultados são obtidos. Finalmente, estudamos o índice de Lie nilpotência de $(FG)^+$. Estabelecemos uma condição necessária e suficiente, para que o índice de Lie nilpotência de $(FG)^+$ e a classe de nilpotência das unidades simétricas de uma álgebra de grupo Lie nilpotente sejam o maior possível. Além disso, consideramos a situação em que o grupo $G$ contém uma cópia de $Q_8$.
Let $F$ be a field of characteristic different from $2$ and $G$ a group. From the classical involution, which sends each element in its inverse and an orientation of $G$, it is possible to define an oriented classical involution on the group algebra $FG$. The goal of this thesis is to study Lie properties of the set of symmetric elements $(FG)^+$ and, in some cases, of the set of skew-symmetric elements $(FG)^-$. We first deal with the case when $G$ does not have elements of order $2$. In this situation, we show that if $(FG)^+$ (or $(FG)^-$) is Lie nilpotent or Lie $n$-Engel, then the whole group algebra $FG$ satisfies the same property. Later we consider the case when $G$ contains a copy of the quaternion group of order $8$. In this instance, we give a complete description of the group algebras such that $(FG)^+$ is strongly Lie nilpotent, Lie nilpotent and Lie $n$-Engel. As a consequence, we get that the set of symmetric units of this kind of groups is nilpotent. Furthermore, we study the case when $G$ does not contain a copy of the quaternion group of order $8$. Here, we present an example that shows that the previews results obtained in former works, with the classical involution, may not hold with an oriented classical involution. However, we give some kinds of groups for which those results are achieved. Finally, we study the Lie nilpotency index of $(FG)^+$. It is given a necessary and sufficient condition to the Lie nilpotency index of $(FG)^+$ and the nilpotency class of the symmetric units to be maximal, in a Lie nilpotent group algebra. In addition, we consider the situation when $G$ contains a copy of the quaternion group of order $8$.

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Jöllenbeck, Michael. "Algebraic discrete Morse theory and applications to commutative algebra (Algebraische diskrete Morse-Theorie und Anwendungen in der kommutativen Algebra) /." [S.l. : s.n.], 2005. http://archiv.ub.uni-marburg.de/diss/z2005/0108/.

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Silva, Andre Ricardo Belotto da. "Análise das bifurcações de um sistema de dinâmica de populações." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-18082010-122313/.

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Nesta dissertação, tratamos do estudo das bifurcações de um modelo bi-dimensional de presa-predador, que estende e aperfeiçoa o sistema de Lotka-Volterra. Tal modelo apresenta cinco parâmetros e uma função resposta não monotônica do tipo Holling IV: $$ \\left\\{\\begin \\dot=x(1-\\lambda x-\\frac{\\alpha x^2+\\beta x +1})\\\\ \\dot=y(-\\delta-\\mu y+\\frac{\\alpha x^2+\\beta x +1}) \\end ight. $$ Estudamos as bifurcações do tipo sela-nó, Hopf, transcrítica, Bogdanov-Takens e Bogdanov-Takens degenerada. O método dos centros organizadores é usado para estudar o comportamento qualitativo do diagrama de bifurcação.
In this work are studied the bifurcations of a bi-dimensional predator-prey model, which extends and improves the Volterra-Lotka system. This model has five parameters and a non-monotonic response function of Holling IV type: $$ \\left\\{\\begin \\dot=x(1-\\lambda x-\\frac{\\alpha x^2+\\beta x +1})\\\\ \\dot=y(-\\delta-\\mu y+\\frac{\\alpha x^2+\\beta x +1}) \\end ight. $$ They studied the sadle-node, Hopf, transcritic, Bogdanov-Takens and degenerate Bogdanov-Takens bifurcations. The method of organising centers is used to study the qualitative behavior of the bifurcation diagram.

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ZAHID, ABOUBEKRE. "Les endomorphismes k - finis des modules de whittaker. Orbite nilpotente minimale en type g2 et operateurs differentiels." Paris 6, 1990. http://www.theses.fr/1990PA066722.

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Soit g une algebre de lie semi-simple complexe, wh un module de whittaker simple. On donne une decomposition de l'algebre des endomorphismes k-finis de wh, en somme directe de modules de harish-chandra simples. On obtient alors une famille de suralgebres de certains quotients primitifs de l'algebre enveloppante

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Terpereau, Ronan. "Schémas de Hilbert invariants et théorie classique des invariants." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00748952.

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Pour toute variété affine W munie d'une opération d'un groupe réductif G, le schéma de Hilbert invariant est un espace de modules qui classifie les sous-schémas fermés de W, stables par l'opération de G, et dont l'algèbre affine est somme directe de G-modules simples avec des multiplicités finies préalablement fixées. Dans cette thèse , on étudie d'abord le schéma de Hilbert invariant, noté H, qui paramètre les sous-schémas fermés GL(V)-stables Z de W=n1 V oplus n2 V^* tels que k[Z] est isomorphe à la représentation régulière de GL(V) comme GL(V)-module. Si dim(V)<3,on montre que H est une variété lisse, et donc que le morphisme de Hilbert-Chow gamma: H -> W//G est une résolution des singularités du quotient W//G. En revanche, si dim(V)=3, on montre que H est singulier. Lorsque dim(V)<3, on décrit H par des équations et aussi comme l'espace total d'un fibré vectoriel homogène au dessus d'un produit de deux grassmanniennes. On se place ensuite dans le cadre symplectique en prenant n1=n2 et en remplaçant W par la fibre en 0 de l'application moment mu: W -> End(V). On considère alors le schéma de Hilbert invariant H' qui paramètre les sous-schémas contenus dans mu^{-1}(0). On montre que H' est toujours réductible, mais que sa composante principale Hp' est lisse lorsque dim(V)<3. Dans ce cas, le morphisme de Hilbert-Chow est une résolution (parfois symplectique) des singularités du quotient mu^{-1}(0)//G. Lorsque dim(V)<3, on décrit Hp' comme l'espace total d'un fibré vectoriel homogène au dessus d'une variété de drapeaux. Enfin, on obtient des résultats similaires lorsque l'on remplace GL(V) par un autre groupe classique (SL(V), SO(V), O(V), Sp(V)) que l'on fait opérer d'abord dans W=nV, puis dans la fibre en 0 de l'application moment.

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Santos, Edson Carlos Licurgo. "Estruturas complexas comauto-espaços nilpotentes e soluveis." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305823.

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Orientador: Luiz Antonio Barrera San Martin
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Seja (g; [·,·]) uma álgebra de Lie com uma estrutura complexa integrável J. Os ± i-auto-espaços de J são subálgebras complexas de gC isomorfas a álgebra (g; [*]J ) com colchete [X * Y ]J = ½ ([X, Y ] - [JX, JY ]). Consideramos, no capítulo 2, o caso onde estas subálgebras são nilpotentes e mostramos que a álgebra de Lie original (g, [·,·]) é solúvel. Consideramos também o caso 6-dimensional e determinamos explicitamente a única álgebra de Lie possível (g; [*]J ). Finalizamos esse capítulo pruduzindo vários exemplos ilustrando diferentes situações, em particular mostramos que para cada s existe g com estrutura complexa J tal que (g; [*]J ) é s-passos nilpotente. Exemplos similares para estruturas hipercomplexas são também construidos. No capítulo 3 consideramos o caso onde os ±i-auto-espaços de J são subálgebras complexas solúveis e a álgebra complexa é uma álgebra de Lie semi-simples. Mostramos que, se a álgebra real é compacta, uma tal estrutura complexa depende unicamente de um subespaço da subálgebra de Cartan. Finalizamos esse capítulo considerando o caso em que as subálgebras solúveis complexas estão contidas em subálgebras de Borel de uma órbita aberta da ação dos automorfismos internos da álgebra real. Mostramos que, assim como no caso compacto, as estruturas complexas são determinandas, de modo único, por subespaços da subálgebra de Cartan. Ao final da tese apresentamos um procedimento, elaborado em MAPLE, que possibilita testar a identidade de Jacobi quando os colchetes de Lie são dados pelas constantes de estrutura
Abstract: Let (g; [·,·]) be a Lie algebra with an integrable complex structure J. The ±i eigenspaces of J are complex subalgebras of gC isomorphic to the algebra (g; [*]J )with bracket [X * Y ]J = ½ ([X, Y ] - [JX, JY ]). We consider, in chapter three, thecase where these subalgebras are nilpotent and prove that the original Lie algebra(g, [·,·]) must be solvable. We consider also the 6-dimensional case and determineexplicitly the possible nilpotent Lie algebras (g; [*]J ). We finish this chapter byproducing several examples illustrating different situations, in particular we showthat for each given s there exists g with complex structure J such that (g; [*]J ) iss-step nilpotent. Similar examples of hypercomplex structures are also built.In Chapter 3 we consider the case where the ± i eigenspaces of J are solvablecomplex subalgebras and gC is a semisimple Lie algebra. We prove that, if g is compact, such a complex structure comes from a subspace of the Cartan subalgebra.We finish this chapter by considering the case where the solvable complex subalgebras are contained in Borel subalgebras of an open orbit of the action of inner automorphisms of the real algebra.At the end of the thesis we present an algorithm, made in MAPLE, that allowus to verify the Jacobi identity when the Lie brackets are defined by the structureconstants
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Mestre em Matemática

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MELO, Emerson Ferreira de. "Sobre Anéis de Lie Admitindo Automorfismos de Ordens Finitas e Álgebras de Lie Quase Nilpotentes." Universidade Federal de Goiás, 2011. http://repositorio.bc.ufg.br/tede/handle/tde/1938.

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In this work we present a study on Lie rings and algebras admitting an automorphism of finite order. We emphasize questions on nilpotency. We prove important results of this theory, for example the Higman, Kreknin and Kostrikin s Theorem. Furthermore, let L be a finite dimensional Lie algebra over an algebraically closed field of characteristic 0. Suppose that L admits a nilpotent Lie algebra D with n weights in L, and let m be the dimension of the Fitting null component with respect to D. Then L is almost nilpotent, namely, L contains a nilpotent subalgebra N of {m,n}-bounded codimension and of nbounded nilpotency class. If m = 0, then L is nilpotent of bounded class by a function of n. This theorem was published by E. I. Khukhro and P. Shumyatsky in the paper entitled Lie Algebras with Almost Constant-Free Derivations .
Nesta dissertação apresentamos um estudo sobre anéis e álgebras de Lie admitindo um automorfismo de ordem finita, com ênfase em questões sobre nilpotência. Demonstramos resultados importantes desta teoria, como por exemplo o Teorema de Higman, Kreknin e Kostrikin. Além disso, considere L uma álgebra de Lie de dimensão finita sobre um corpo algebricamente fechado de característica 0. Suponha que L admita uma álgebra de derivações nilpotente D com n pesos em L, e seja m a dimensão da componente nula de Fitting com respeito a D. Então L é quase nilpotente, ou seja, L contém uma subálgebra N de codimensão {m,n}-limitada e classe de nilpotência n-limitada. Se m = 0, então L é nilpotente de classe limitada por uma função de n. Este teorema foi publicado por E. I. Khukhro e P. Shumyatsky num artigo intitulado Lie Algebras with almost constant-free derivations .

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Rodrigues, Claudenir Freire. "Grupos abelianos-por-nilpotentes do tipo homologico 'FP IND.3'." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306915.

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Orientador: Dessislava H. Kochloukova
Tese (doutorado) - Universidade Estadual de Campinas. Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Neste trabalho estudamos grupos abstratos finitamente gerados G que são extensões cindidas de um grupo abeliano A por um grupo Q nilpotente de classe 2. Mostramos que se G tem tipo homológico F P3, então o quociente G/N também tem tipo homológico F P3 onde N é o fecho normal do centro de Q em G. Observamos que não existe classificação quando G pode ter tipo FP3, nem classificação para tipo F P2 ou ser finitamente apresentável. Por causa disso nós trabalhamos com um quociente especifico de G. Ainda fica em aberto se cada quociente de G tem tipo FP3 quando G tem tipo FP3. Observamos que isso vale quando G é grupo metabeliano, nesse caso a teoria de Bieri-Strebel pode ser aplicada
Abstract: We study abstract finitely generated groups G that are split extensions from A abelian group by Q nilpotent group of class two. We show that if G has homological type FP3 then the quotient group GjN has homological type FP3 too, where N is the normal closure of the center of Q in G. Since there is no classification when G is of type FP3, nor when G is of type FP2 or finitely presented we work with one specific quotient. It is an open problem whether every quotient of G has type F P3. This holds if G is a metabelian group and in this case the Bieri-Strebel theory applies
Doutorado
Doutor em Matemática

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Books on the topic "Nilpotente"

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Goze, Michel, and Yusupdjan Khakimdjanov. Nilpotent Lie Algebras. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2432-6.

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Goze, Michel. Nilpotent Lie algebras. Dordrecht: Kluwer Academic, 1996.

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Fischer, Veronique, and Michael Ruzhansky. Quantization on Nilpotent Lie Groups. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29558-9.

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Clement, Anthony E., Stephen Majewicz, and Marcos Zyman. The Theory of Nilpotent Groups. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66213-8.

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Khukhro, Evgenii I. Nilpotent groups and their automorphisms. Berlin: W. de Gruyter, 1993.

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Freudenburg, Gene. Algebraic Theory of Locally Nilpotent Derivations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-55350-3.

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1959-, McGovern William M., ed. Nilpotent orbits in semisimple Lie algebras. New York: Van Nostrand Reinhold, 1993.

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Smith, Jeremy Francis. Topics in products of nilpotent groups. [s.l.]: typescript, 1998.

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Ravenel, Douglas C. Nilpotence and periodicity in stable homotopy theory. Princeton, N.J: Princeton University Press, 1992.

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Borho, W., J.-L. Brylinski, and R. MacPherson. Nilpotent Orbits, Primitive Ideals, and Characteristic Classes. Boston, MA: Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4612-4558-2.

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Book chapters on the topic "Nilpotente"

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Kühnel, Wolfgang. "Abelsche und nilpotente Lie-Gruppen." In Matrizen und Lie-Gruppen, 163–70. Wiesbaden: Vieweg+Teubner, 2011. http://dx.doi.org/10.1007/978-3-8348-9905-7_15.

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Satake, Ichiro, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, and Shoichi Nakajima. "Über nilpotente topologische Gruppen I." In Kenkichi Iwasawa Collected Papers, 118–31. Tokyo: Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_12.

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Kurzweil, Hans, and Bernd Stellmacher. "p-Gruppen und nilpotente Gruppen." In Springer-Lehrbuch, 91–107. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-58816-7_5.

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Schwartz, Lionel. "La filtration nilpotente de la categorie μ et la cohomologie des espaces de lacets." In Lecture Notes in Mathematics, 208–18. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0077804.

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Aoyama, Hideaki, Anatoli Konechny, V. Lemes, N. Maggiore, M. Sarandy, S. Sorella, Steven Duplij, et al. "Nilpotent Mapping." In Concise Encyclopedia of Supersymmetry, 264. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_347.

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Stix, Jakob. "Nilpotent Sections." In Lecture Notes in Mathematics, 175–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30674-7_14.

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Ganyushkin, Olexandr, and Volodymyr Mazorchuk. "Nilpotent Subsemigroups." In Algebra and Applications, 131–52. London: Springer London, 2009. http://dx.doi.org/10.1007/978-1-84800-281-4_8.

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Ceccherini-Silberstein, Tullio, and Michele D’Adderio. "Nilpotent Groups." In Springer Monographs in Mathematics, 23–48. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-88109-2_2.

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Rose, H. E. "Nilpotency." In Universitext, 209–27. London: Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-889-6_10.

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Goze, Michel, and Yusupdjan Khakimdjanov. "Lie Algebras. Generalities." In Nilpotent Lie Algebras, 1–39. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-017-2432-6_1.

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Conference papers on the topic "Nilpotente"

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Irschik, Hans, Alexander K. Belyaev, Michael Krommer, and Kurt Schlacher. "Non-Uniqueness of Two Inverse Problems of Thermally and Force-Loaded Smart Structures: Sensor Shaping and Actuator Shaping Problem." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0715.

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Abstract Flexural vibrations of smart beams with integrated piezoelectric actuators and sensors are considered. For the case of a spatial variation of the sensor/actuator activity, actuator and sensor equations are derived taking into account the interaction of mechanical, electrical and thermal fields. Self-sensing actuators are included. With respect to the non-uniform spatial distribution of the sensors/actuators, shaping problems are formulated. Possible non-uniqueness of these inverse problems is pointed out. Shape functions responsible for non-uniqueness of the shaping problems are termed nilpotent solutions. Within the context of simplified sensor/actuator equations widely used in the literature, a class of nilpotent shape functions is derived for redundant beams by analogy to an auxiliary quasi-static problem of thermally induced flexure. Nilpotent shape functions of the sensor/actuator shaping problem thus turn out to correspond to bending moments in the auxiliary thermoelastic problem.

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Yang, Wen-Wei, Chia-Cheng Liu, Ching-Feng Wen, and Yung-Yih Lur. "On Simultaneously Nilpotent Fuzzy Matrices over Max-nilpotent Operations." In 2012 Fifth International Joint Conference on Computational Sciences and Optimization (CSO). IEEE, 2012. http://dx.doi.org/10.1109/cso.2012.55.

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Rowlands, Peter. "Idempotent or nilpotent?" In ICNPAA 2018 WORLD CONGRESS: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2018. http://dx.doi.org/10.1063/1.5081601.

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Li, Zhengxing, Jinke Hai, and Xiuyun Guo. "Some results on C-automorphisms of finite nilpotent by nilpotent groups." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002617.

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Mandilara, Aikaterini, and Vladimir M. Akulin. "Entanglement via nilpotent polynomials." In Proceedings of the 46th Karpacz Winter School of Theoretical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814317443_0009.

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Mbekhta, Mostafa, and Jaroslav Zemánek. "Quasi-nilpotent and compact." In Perspectives in Operator Theory. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-20.

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Codara, Pietro, and Diego Valota. "Valuations in Nilpotent Minimum Logic." In 2015 IEEE International Symposium on Multiple-Valued Logic (ISMVL). IEEE, 2015. http://dx.doi.org/10.1109/ismvl.2015.19.

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Gerla, Brunella, and Massimo Dalla Rovere. "Nilpotent Minimum Fuzzy Description Logics." In 7th conference of the European Society for Fuzzy Logic and Technology. Paris, France: Atlantis Press, 2011. http://dx.doi.org/10.2991/eusflat.2011.127.

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Hermes, Henry. "Nilpotent approximations of control systems." In 1985 24th IEEE Conference on Decision and Control. IEEE, 1985. http://dx.doi.org/10.1109/cdc.1985.268588.

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ROWLANDS, PETER, and SYDNEY ROWLANDS. "Representations of the Nilpotent Dirac Matrices." In Unified Field Mechanics II: Preliminary Formulations and Empirical Tests, 10th International Symposium Honouring Mathematical Physicist Jean-Pierre Vigier. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813232044_0002.

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Reports on the topic "Nilpotente"

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Rockland, C. Intrinsic Nilpotent Approximation. Fort Belvoir, VA: Defense Technical Information Center, June 1985. http://dx.doi.org/10.21236/ada158265.

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Ikawa, Osamu. Motion of Charged Particles in Two-Step Nilpotent Lie Groups. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-252-262.

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Ikawa, Osamu. Motion of Charged Particles in Two-Step Nilpotent Lie Groups. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-20-2010-57-67.

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