Relevant bibliographies by topics / Lie

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Lie'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 September 2024

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Journal articles on the topic "Lie"

1

Wilcox, Christie. "Lice Don't Lie." Scientific American 306, no. 6 (May 15, 2012): 28. http://dx.doi.org/10.1038/scientificamerican0612-28a.

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Khalili, Valiollah. "On the structure of graded 3-Lie-Rinehart algebras." Filomat 38, no. 2 (2024): 369–92. http://dx.doi.org/10.2298/fil2402369k.

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We study the structure of a graded 3-Lie-Rinehart algebraLover an associative and commutative graded algebra A. For G an abelian group, we show that if (L,A) is a tight G-graded 3-Lie-Rinehart algebra, then L and A decompose as L = ? i?I Li and A = ? j?J Aj, where any Li is a non-zero graded ideal of L satisfying [Li1 ,Li2 ,Li3] = 0 for any i1, i2, i3 ? I different from each other, and any Aj is a non-zero graded ideal of A satisfying AjAl = 0 for any l, j ? J such that j ?l, and both decompositions satisfy that for any i ? I there exists a unique j ? J such that AjLi ? 0. Furthermore, any (Li,Aj) is a graded 3-Lie-Rinehart algebra. Also, under certain conditions, it is shown that the above decompositions of L and A are by means of the family of their, respectively, graded simple ideals.
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Churchill, Ward. "Lie for lie." Peace Review 9, no. 1 (March 1997): 123–31. http://dx.doi.org/10.1080/10402659708426037.

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Park, Chun-Gil. "Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras." Journal of Mathematical Analysis and Applications 293, no. 2 (May 2004): 419–34. http://dx.doi.org/10.1016/j.jmaa.2003.10.051.

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Conant, James. "The $\mathsf {Lie}$ Lie algebra." Quantum Topology 8, no. 4 (December 6, 2017): 667–714. http://dx.doi.org/10.4171/qt/99.

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Mackenzie, Kirill C. H. "Lie Algebroids and Lie Pseudoalgebras." Bulletin of the London Mathematical Society 27, no. 2 (March 1995): 97–147. http://dx.doi.org/10.1112/blms/27.2.97.

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Merati, S., and M. R. Farhangdoost. "Hom-Lie group and hom-Lie algebra from Lie group and Lie algebra perspective." International Journal of Geometric Methods in Modern Physics 18, no. 05 (January 29, 2021): 2150068. http://dx.doi.org/10.1142/s0219887821500687.

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A hom-Lie group structure is a smooth group-like multiplication on a manifold, where the structure is twisted by a isomorphism. The notion of hom-Lie group was introduced by Jiang et al. as integration of hom-Lie algebra. In this paper we want to study hom-Lie group and hom-Lie algebra from the Lie group’s point of view. We show that some of important hom-Lie group issues are equal to similar types in Lie groups and then many of these issues can be studied by Lie group theory.
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Qi, Xiaofei, and Jinchuan Hou. "Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on nest algebras." Linear Algebra and its Applications 431, no. 5-7 (August 2009): 843–54. http://dx.doi.org/10.1016/j.laa.2009.03.037.

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Qi, Xiao Fei, and Jin Chuan Hou. "Additive Lie (ξ-Lie) derivations and generalized Lie (ξ-Lie) derivations on prime algebras." Acta Mathematica Sinica, English Series 29, no. 2 (September 6, 2012): 383–92. http://dx.doi.org/10.1007/s10114-012-0502-8.

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Biyogmam, Guy Roger, Jose Manuel Casas, and Natalia Pacheco Rego. "Lie-central derivations, Lie-centroids and Lie-stem Leibniz algebras." Publicationes Mathematicae Debrecen 97, no. 1-2 (July 1, 2020): 217–39. http://dx.doi.org/10.5486/pmd.2020.8810.

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Dissertations / Theses on the topic "Lie"

1

Eddy, Scott M. "Lie Groups and Lie Algebras." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.

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Ahluwalia, Kanwardeep Singh. "Lie bialgebras and Poisson lie groups." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388758.

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Yang, Qunfeng. "Some graded Lie algebra structures associated with Lie algebras and Lie algebroids." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0007/NQ41350.pdf.

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Palmieri, Riccardo. "Real forms of Lie algebras and Lie superalgebras." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9448/.

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In questa tesi abbiamo studiato le forme reali di algebre e superalgebre di Lie. Il lavoro si suddivide in tre capitoli diversi, il primo è di introduzione alle algebre di Lie e serve per dare le prime basi di questa teoria e le notazioni. Nel secondo capitolo abbiamo introdotto le algebre compatte e le forme reali. Abbiamo visto come sono correlate tra di loro tramite strumenti potenti come l'involuzione di Cartan e relativa decomposizione ed i diagrammi di Vogan e abbiamo introdotto un algoritmo chiamato "push the button" utile per verificare se due diagrammi di Vogan sono equivalenti. Il terzo capitolo segue la struttura dei primi due, inizialmente abbiamo introdotto le superalgebre di Lie con relativi sistemi di radici e abbiamo proseguito studiando le relative forme reali, diagrammi di Vogan e abbiamo introdotto anche qua l'algoritmo "push the button".
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Burroughs, Nigel John. "The quantisation of Lie groups and Lie algebras." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358486.

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Krook, Jonathan. "Overview of Lie Groups and Their Lie Algebras." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-275722.

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Intuitively, Lie groups are groups that are also smooth. The aim of this thesis is to describe how Lie groups are defined as smooth manifolds, and to look into their properties. To each Lie group there exists an associated vector space, which is called the Lie algebra of the Lie group. We will investigate what properties of a Lie group can be derived from its Lie algebra. As an application, we will characterise all unitary irreducible finite dimensional representations of the Lie group SO(3).
Liegrupper kan ses som grupper som även är glatta. Målet med den här rapporten är att definiera Liegrupper som glatta mångfalder, och att undersöka några av liegruppernas egenskaper. Till varje Liegrupp kan man relatera ett vektorrum, som kallas Liegruppens Liealgebra. Vi kommer undersöka vilka egenskaper hos en Liegrupp som kan härledas från dess Liealgebra. Som tillämpning kommer vi karaktärisera alla unitära irreducibla ändligtdimensionella representationer av Liegruppen SO(3).
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Aminou, Adérodjou A. Rachidi. "Groupes de Lie-Poisson et bigèbres de Lie." Lille 1, 1988. http://www.theses.fr/1988LIL10139.

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Un groupe de lie-poisson est un groupe de lie g muni d'une structure de poisson telle que la multiplication soit un morphisme de poisson de g x g dans g. L'algebre de lie d'un groupe de lie-poisson porte une structure supplementaire qui en fait une bigebre de lie. Nous etudions les bigebres de lie (autodualite, triplets de manin) et les algebres de lie bicroisees qui generalisent des bigebres de lie. Nous considerons le cas des bigebres de lie exactes, en particulier des bigebres de lie quasitriangulaires et nous etudions plusieurs exemples. Nous montrons que la categorie des bigebres de lie quasi-triangulaires est isomorphe a la categorie des algebres de lie-semenov. Nous comparons la notion de carre d'une algebre de lie-semenov due a semenov-trian-shansky et la notion de double d'une bigebre de lie due a drinfeld. Enfin, nous demontrons le "troisieme theoreme de lie" pour les groupes de lie-poisson et nous etudions les structures de poisson sur un groupe de lie definies par des solutions des equations de yang-baxter classique, generalisee ou modifiee.
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Aminou, Adérodjou A. Rachidi. "Groupes de Lie-Poisson et bigèbres de Lie." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37611312n.

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Höglund, Joel. "Lie-algebror." Thesis, Uppsala universitet, Algebra och geometri, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-202056.

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Mihaylishin, P. A. "Lie detector." Thesis, Сумський державний університет, 2012. http://essuir.sumdu.edu.ua/handle/123456789/28533.

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Books on the topic "Lie"

1

Qiao, An. Lie lie qing yan. Hong Kong: Xing He, 1999.

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Hilgert, Joachim. Lie-Gruppen und Lie-Algebren. Braunschweig: Vieweg, 1991.

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Bourbaki, Nicolas. Lie Groups and Lie Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-89394-3.

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Komrakov, B. P., I. S. Krasil’shchik, G. L. Litvinov, and A. B. Sossinsky, eds. Lie Groups and Lie Algebras. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5258-7.

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Hilgert, Joachim, and Karl-Hermann Neeb. Lie-Gruppen und Lie-Algebren. Wiesbaden: Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-80270-5.

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Serre, Jean-Pierre. Lie Algebras and Lie Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-540-70634-2.

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Bourbaki, Nicolas. Lie groups and Lie algebras. Berlin: Springer, 2004.

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8

Richards, Emilie. A lie for a lie. New York: Berkley, 2009.

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Nicolas Bourbaki. Lie groups and Lie algebras. Berlin: Springer-Verlag, 1989.

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Richards, Emilie. A lie for a lie. New York: Berkley Prime Crime, 2009.

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Book chapters on the topic "Lie"

1

Weik, Martin H. "lie." In Computer Science and Communications Dictionary, 888. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_10140.

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Conlon, Lawrence. "Lie Groups and Lie Algebras." In Differentiable Manifolds, 127–57. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-2284-0_5.

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Bröcker, Theodor, and Tammo tom Dieck. "Lie Groups and Lie Algebras." In Graduate Texts in Mathematics, 1–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-12918-0_1.

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Knapp, Anthony W. "Lie Algebras and Lie Groups." In Lie Groups Beyond an Introduction, 1–78. Boston, MA: Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4757-2453-0_1.

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Duistermaat, J. J., and J. A. C. Kolk. "Lie Groups and Lie Algebras." In Lie Groups, 1–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56936-4_1.

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Tu, Loring W. "Lie Groups and Lie Algebras." In An Introduction to Manifolds, 163–88. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-7400-6_5.

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Bourbaki, Nicolas. "Lie Groups and Lie Algebras." In Elements of the History of Mathematics, 247–67. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61693-8_25.

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Bongaarts, Peter. "Lie Groups and Lie Algebras." In Quantum Theory, 371–91. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09561-5_24.

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Adams, Barry G. "Lie Groups and Lie Algebras." In Algebraic Approach to Simple Quantum Systems, 247–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57933-2_12.

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Hassani, Sadri. "Lie Groups and Lie Algebras." In Mathematical Physics, 815–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-87429-1_28.

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Conference papers on the topic "Lie"

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Seo, Joohwan, Nikhil Potu Surya Prakash, Jongeun Choi, and Roberto Horowitz. "A Comparison Between Lie Group- and Lie Algebra- Based Potential Functions for Geometric Impedance Control." In 2024 American Control Conference (ACC), 1335–42. IEEE, 2024. http://dx.doi.org/10.23919/acc60939.2024.10644201.

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Brzezinski, Tomasz. "Lie trusses and heaps of Lie affebras." In Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.406.0307.

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Wang, Junyan, Peng Zhang, Cheng Zhang, and Dawei Song. "SCSS-LIE." In SIGIR '19: The 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval. New York, NY, USA: ACM, 2019. http://dx.doi.org/10.1145/3331184.3331407.

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Steptoe, William, Anthony Steed, Aitor Rovira, and John Rae. "Lie tracking." In the 28th international conference. New York, New York, USA: ACM Press, 2010. http://dx.doi.org/10.1145/1753326.1753481.

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Galaviz, Imelda. "Introductory Lectures on Lie Groups and Lie Algebras." In ADVANCED SUMMER SCHOOL IN PHYSICS 2005: Frontiers in Contemporary Physics EAV05. AIP, 2006. http://dx.doi.org/10.1063/1.2160969.

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Kawazoe, T., T. Oshima, and S. Sano. "Representation Theory of Lie Groups and Lie Algebras." In Fuji-Kawaguchiko Conference on Representation Theory of Lie Groups and Lie Algebras. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537162.

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Akter, Sharmin, Md Monirul Islam, Md Rokunojjaman, and Salma Nasrin. "Operations of Lie Groups and Lie Algebras on Manifolds." In 2021 International Conference on Science & Contemporary Technologies (ICSCT). IEEE, 2021. http://dx.doi.org/10.1109/icsct53883.2021.9642569.

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Staiano, Jacopo, Fabio Pianesi, Bruno Lepri, Nicu Sebe, Nadav Aharony, and Alex Pentland. "Friends don't lie." In the 2012 ACM Conference. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2370216.2370266.

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Azevedo, Lucas. "Truth or Lie." In Companion of the The Web Conference 2018. New York, New York, USA: ACM Press, 2018. http://dx.doi.org/10.1145/3184558.3186567.

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Mittal, Trisha, Uttaran Bhattacharya, Rohan Chandra, Aniket Bera, and Dinesh Manocha. "Emotions Don't Lie." In MM '20: The 28th ACM International Conference on Multimedia. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3394171.3413570.

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Reports on the topic "Lie"

1

Arvanitoyeorgos, Andreas. Lie Transformation Groups and Geometry. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-11-35.

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Ederer, Florian, and Weicheng Min. Bayesian Persuasion with Lie Detection. Cambridge, MA: National Bureau of Economic Research, May 2022. http://dx.doi.org/10.3386/w30065.

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Manikonda, V., and P. S. Krishnaprasad. Controllability of Lie-Poisson Reduced Dynamics. Fort Belvoir, VA: Defense Technical Information Center, January 1997. http://dx.doi.org/10.21236/ada451364.

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Noonan, Christine F. Spy the Lie: Detecting Malicious Insiders. Office of Scientific and Technical Information (OSTI), March 2018. http://dx.doi.org/10.2172/1452870.

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Popescu, Liviu. A Note on Poisson Lie Algebroids. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-227-236.

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Popescu, Liviu Popescu. A Note on Poisson Lie Algebroids. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-12-2008-63-73.

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Boumaiza, Mohamed. Poisson-Lie Structure on the Tangent Bundle of a Poisson-Lie Group and Poisson Action Lifting. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-4-2005-1-18.

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Kircher, John C., Ted Packard, Brian G. Bell, and Paul C. Bernhardt. Effects of Prior Demonstrations of Polygraph Accuracy on Outcomes of Probable-Lie and Directed-Lie Polygraph Tests. Fort Belvoir, VA: Defense Technical Information Center, October 2001. http://dx.doi.org/10.21236/ada404128.

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Wang, Chunxi, and A. Chao. Notes on lie algebraic analysis of achromats. Office of Scientific and Technical Information (OSTI), January 1995. http://dx.doi.org/10.2172/48746.

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Axford, R. A. Construction of Difference Equations Using Lie Groups. Office of Scientific and Technical Information (OSTI), August 1998. http://dx.doi.org/10.2172/1172.

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