Dissertations / Theses on the topic 'Soluble and nilpotent group'
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Wharton, Elizabeth. "The model theory of certain infinite soluble groups." Thesis, University of Oxford, 2006. http://ora.ox.ac.uk/objects/uuid:7bd8d05b-4ff6-4326-8463-f896e2862e25.
Full textGrenham, Dermot. "Some topics in nilpotent group theory." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329954.
Full textSmith, Jeremy Francis. "Topics in products of nilpotent groups." Thesis, University of Warwick, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340502.
Full textPopov, Vladimir L., and popov@ppc msk ru. "Self-Dual Algebraic Varieties and Nilpotent Orbits." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi978.ps.
Full textBudde, Julia [Verfasser]. "Wave front sets of nilpotent lie group representations / Julia Budde." Paderborn : Universitätsbibliothek, 2021. http://d-nb.info/122950415X/34.
Full textSohrabi, Mahmood. "Groups elementary equivalent to a free 2-nilpotent group of arbitrary finite rank." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=98801.
Full textGjerling, Andreas. "On rings of quotients of soluble group algebras." Thesis, Queen Mary, University of London, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.286813.
Full textHarkins, Andrew. "Combining lattices of soluble lie groups." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341777.
Full textUemura, Hideaki. "Off-Diagonal Short Time Expansion of the Heat Kernel on a Certain Nilpotent Lie Group." 京都大学 (Kyoto University), 1989. http://hdl.handle.net/2433/86399.
Full textSalminen, Adam D. "On the sources of simple modules in nilpotent blocks." Connect to resource, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1124221435.
Full textTitle from first page of PDF file. Document formatted into pages; contains viii, 87 p. Includes bibliographical references (p. 85-87). Available online via OhioLINK's ETD Center
Wilde, Thomas Stephen. "Cohomology and the subgroup structure of a finite soluble group." Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/35510/.
Full textCrawley-Boevey, W. W. "Polycyclic-by-finite affine group schemes and infinite soluble groups." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.372868.
Full textCazzola, Marina. "Local character degrees and the derived length of a finite soluble group." Thesis, University of Warwick, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308581.
Full textBerning, Douglas E. "New developments in main group and transition metal chemistry of water-soluble phospines /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9841266.
Full textLong, Robert Llewellyn, and bizarrealong@hotmail com. "Improving fruit soluble solids content in melon (Cucumis melo L.) (reticulatus group) in the Australian production system." Central Queensland University. Biological and Environmental Science, 2005. http://library-resources.cqu.edu.au./thesis/adt-QCQU/public/adt-QCQU20051019.144749.
Full textWegner, Alexander. "The construction of finite soluble factor groups of finitely presented groups and its application." Thesis, University of St Andrews, 1992. http://hdl.handle.net/10023/12600.
Full textDistler, Andreas. "Classification and enumeration of finite semigroups." Thesis, St Andrews, 2010. http://hdl.handle.net/10023/945.
Full textPoole, Geoffrey D. "The production of soluble proteins having blood group activity, and their use in quantifying red cell antibodies in pregnant women." Thesis, University of Portsmouth, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.500335.
Full textEtheridge, W. "Production of soluble recombinant complement receptor (CR1) antigens to detect or inhibit antibodies to Knops (KN) blood group system antigens." Thesis, University of the West of England, Bristol, 2015. http://eprints.uwe.ac.uk/26375/.
Full text丸橋, 広和. "単連結べき零Lie群のパラメータ剛性をもつ作用." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188455.
Full textMilliet, Cédric. "Propriétés algébriques des structures menues ou minces, rang de Cantor Bendixson, espaces topologiques généralisés." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00442772.
Full textHedén, Isac. "Ga-actions on Complex Affine Threefolds." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-203708.
Full textLima, Francismar Ferreira 1985. "Pontos fixos por grupos finitos agindo sobre grupos solúveis de tipo FP infinito." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306924.
Full textDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Mestrado
Matematica
Mestre em Matemática
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/.
Full textLet $F$ 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 $8$.
Haubold, Niko. "Compressed Decision Problems in Groups." Doctoral thesis, Universitätsbibliothek Leipzig, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-85413.
Full textAmirou, Yanis. "Les bornes uniformes pour la longueur des mots et groupe des éléments bornés." Thesis, Université Paris sciences et lettres, 2020. http://www.theses.fr/2020UPSLE004.
Full textThis thesis studies the following question: given a finitely generated group G which are the elements whose length is uniformly bounded for any word-length in G ?. This work introduces and studies the subgroup Gbound consisting of elements of uniformly bounded word-length with respect to any generating set of G. We show that this subgroup is characteristic, that it is finite when the group G is virtually abelian, that it is trivial when the group is non-elementary hyperbolic. We show that for every finite group A, there exists an infinite group G such that Gbound = A. It is shown that for nilpotent groups of class 2, Gbound is the largest finite subgroup of the lower central series. We also study a generalization of Gbound by making it depend on the cardinals of the generating sets considered
Richtár, Jan. "Syntéza a charakterizace nových organických materiálů pro organickou elektroniku." Doctoral thesis, Vysoké učení technické v Brně. Fakulta chemická, 2020. http://www.nusl.cz/ntk/nusl-433253.
Full textFRATI, MARCO. "Unipotent Automorphisms of Soluble Groups." Doctoral thesis, 2013. http://hdl.handle.net/2158/806278.
Full textTolcachier, Alejandro. "Grupos de Bieberbach y holonomía de solvariedades planas." Bachelor's thesis, 2018. http://hdl.handle.net/11086/11323.
Full textUna solvariedad es una variedad compacta de la forma L/G donde G es un grupo de Lie soluble simplemente conexo y L es un retículo de G. En este trabajo estudiamos solvariedades equipadas con una métrica riemanniana plana, a partir de la caracterización dada por Milnor de los grupos de Lie que admiten una métrica riemanniana invariante a izquierda plana. Las solvariedades planas son ejemplos de variedades compactas planas, por lo cual podemos aplicar los teoremas clásicos de Bieberbach para describir el grupo fundamental L de la variedad L/G. En particular, todo grupo de Bieberbach posee un subgrupo abeliano maximal de índice finito. Más aún, el cociente del grupo L por este subgrupo es finito y se identifica con la holonomía riemanniana de la variedad compacta plana. Probamos primero que el grupo de holonomía riemanniana de cualquier solvariedad plana es abeliano y que todo grupo abeliano finito se puede obtener así. Luego, nos restringimos al caso de grupos de Lie casi abelianos, para los cuales hay un criterio para determinar la existencia de retículos, el cual utilizamos para clasificar las solvariedades planas en dimensión 3, 4 y 5. Para dimensiones mayores, probamos que para todo n>2 la dimensión mínima de una variedad compacta plana con grupo de holonomía Z_n coincide con la dimensión mínima de una solvariedad plana con grupo de holonomía Z_n.
A solvmanifold is a compact manifold L/G where G is a simply connected solvable Lie group and L is a lattice of G. In this article we study solvmanifolds equipped with a flat Riemannian metric, according to Milnor's characterization of Lie groups that admit a flat left invariant metric. Flat solvmanifolds are examples of compact flat manifolds, so we can apply the classic theory of Bieberbach groups to describe the fundamental group L of the manifold L/G. In particular, every Bieberbach group has a maximal normal abelian subgroup which has finite index. Fruthermore, the quotient of the group L by this subgroup is finite and can be with the riemannian holonomy group of the compact flat manifold. First, we prove that the holonomy group of every flat solvmanifold is abelian and, conversely, that every finite abelian group can be obtained as a holonomy group of a flat solvmanifold. Then, we focus on almost abelian Lie groups, for which there is a well known criterion to determine the existence of lattices that we use to classify flat solvmanifolds of dimension 3, 4 and 5. Concerning arbitrary dimensions, we prove that for every n>2 the minimum dimension of a compact flat manifold with holonomy group Z_n is equal to the minimum dimension of a flat solvmanifold with holonomy group Z_n.
Higginbottom, Ryan Sterling. "The Nilpotent filtration in group cohomology /." 2005. http://wwwlib.umi.com/dissertations/fullcit/3189320.
Full textWakefield, Max. "Group Representations, Nilpotent Algebras and Finite Algebra Groups." Master's thesis, 2018. http://hdl.handle.net/1885/173612.
Full textLubisi, Elliot. "The effect of the group structure of a group Q on its non-cancellation set." Thesis, 2018. https://hdl.handle.net/10539/26176.
Full textAhlin, Ashley Reiter. "The large scale geometry of nilpotent-by-cycle groups /." 2002. http://wwwlib.umi.com/dissertations/dlnow/3048360.
Full textSu, Meng-Hsiung, and 蘇盟雄. "Synthesis and Characterization of Soluble Polyamide-imides with tert-butyl group." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/dug5ne.
Full text國立成功大學
化學工程學系碩博士班
90
Abstract An imide ring-containing dicarboxylic acid was prepared by the condensation of 1,4-Bis(4-aminophenoxy)-2-tert-butyl benzene (BATB) and trimellitic anhydride(TMA) .A series of soluble poly(amide-imide)s containing tert-butyl units were synthesized via the triphenyl phosphite-activated direct polycondensation of this diimide-diacid with various aromatic diamines.Four of the obtained polymer had inherent viscosities of 0.53(dl/g)∼0.86(dl/g) and afforded flexible films. These compounds are discussed and compared with those of polyimides which do not contain amide units and also with the poly(amide-imide) which do not contain tert-butyl units .All the polymers were then characterized by FTIR、H1-NMR、Instron、DSC、DMA and XRD .Most of resulting poly(amide-imide)s containing tert-butyl units showed an amorphous nature and were readily soluble in polar solvents such as NMP、DMF and DMAc .The glass transition temperature could be determined with the help of DMA clearly,which were recorded in the range 243∼266℃.Their 5﹪weight loss temperature were recorded in the range 473∼480℃ in nitrogen. These polymer exhibited a desired combination of propertiesrequiring high-performance materials that include excellent thermal stability and excellent solubility in organic solvents.
Niemeyer, Alice C. "Computing presentations for finite soluble groups." Phd thesis, 1993. http://hdl.handle.net/1885/133191.
Full textLu, Hsin-Yi, and 呂信誼. "Synthesis and Characterization of New Organic Soluble Polyamides and Polyimides With Trifluoromethyl Group." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/37292365341592942055.
Full text國立臺灣科技大學
化學工程系
91
A new cardo diamine monomer, 1,1-bis[4-(3-trifluoromethyl-4-amino phenoxy)phenyl]-4-tert-butylcyclohexane containing tert-butylcyclohexylidene unit was prepared in three steps from 4-tert-butylcyclohexanone. The monomer was reacted with various aromatic tetracarboxylic dianhydrides and dicarboxylic acids to produce polyimides and polyamides, respectively. These cardo polymers exhibited good solubility in a variety of solvents. Almost all the polymers dissolved in N-methyl-2-pyrrolidinone (NMP), N,N-dimethylacetamide (DMAc), N,N-dimethylformamide (DMF), pyridine, and even in cyclohexanone. These polyimides and polyamides showed glass transition temperatures between 231-262℃and 243-266 ℃, decomposition temperature at 10 % mass loss temperatures ranging from 437-543 and 413-502℃ in nitrogen and air, respectively. The transparency of these polymer films (in the range of 80% to 90%) at 500nm solar wavelength. A new noncoplanar diamine monomer containing trifluoromethyl group on either side, 2,2'-dimethyl-4,4'-bis(2-trifluoromethyl-4- aminophenoxy)biphenyl (DBTFAPB) was synthesized and its structure was indentified by 1H-NMR, 13C-NMR, FTIR spectroscopy, X-ray crystallographic and elemental analyses. Polyamides were synthesized from the diamines with various aromatic dicarboxylic acids. The polymers with trifluoromethyl substituents exhibited low dielectric constants ranging from 3.07 to 3.75. These polymers showed glass transition temperatures between 230-255 ℃. The polymers possessed a coefficient of thermal expension (CTE) of 52-94 ppm/℃. All the polymers showed excellent solubility in the organic solvents: N-methyl-2-pyrrolidinone (NMP), N,N- dimethylacetamide (DMAc), N,N-dimethylformamide (DMF), dimethyl sulfoxide (DMSO), pyridine, tetrahydrofuran (THF), cyclohexanone and γ-butyrolactone. Inherent viscosities of the polymers were found to range between 0.93 and 1.34 dL‧g-1. Thermogravimetric analysis of the polymers revealed a high thermal stability; decomposition temperature in excess of 440 ℃ in nitrogen. The 10 % weight loss temperature was found to be in the range 465-487℃ and 442-463℃ in nitrogen and air, respectively. The polymer films had a tensile strength range of 92-124 MPa; an elongation at break range of 9-15 %; and a tensile modulus range of 1.9-2.6 GPa. Transparency of the films ( in the range of 82 % to 85 % ) were high at 400-780 nm in the visible regions and were entirely colorless. The UV-vis absorption spectra revealed that most of the polymers had absorption maxima around 258-308 nm. The average refractive index varied from 1.5793-1.6121, and birefringence varied in the range of 0.0093-0.0413.
CHIU, PEI-FANG, and 邱沛芳. "Design and Synthesis a Water-soluble Group for Ether-linkage of 10-Hydroxycamptothecin Prodrug." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/686w4t.
Full text嘉南藥理大學
藥學系
105
Camptothecin has good anti-cancer activity, and current clinical use of two derivatives are Topotecan and Irinotecan which improve poor water solubility of Camptothecin by chemical modification. However, the lack of drugs specificity of tumor will cause severe side effects. Therefore, our laboratory designed and synthesized two glucuronide prodrugs of Camptothecin (9-ACG and 10-HCG) which will mainly be activated at tumor site expressing large number of β-glucuronidase. According to previous studies, 9-ACG and 10-HCG was 1800 and 20 times soluble than 10-HCG, respectively; 9-ACG and 10-HCG was 30-fold and 10-fold less toxic than the parent drug to cells, respectively; Enzyme kinetic studies showed that β-glucuronidase exhibited 520 times higher catalytic efficiency for 10-HCG than for 9-ACG, and molecular modeling studies predicted that 10-HCG would have a higher binding affinity to enzyme than 9-ACG. In this study, we design and synthesize the target compound 10-HCPG by creating N-methyl piperazine on the benzyl group of 10-HCG, expect for good water solubility, stable in blood, low cytotoxicity, good affinity with β-glucuronidase and specific to tumor cells.
"The Investigation and Characterization of the Group 3 [NiFe]-Hydrogenases Using Protein Film Electrochemistry." Doctoral diss., 2012. http://hdl.handle.net/2286/R.I.15001.
Full textDissertation/Thesis
Ph.D. Biochemistry 2012
(10942799), Robert Llewellyn Long. "Improving fruit soluble solids content in melon (Cucumis melo L.) (reticulatus group) in the Australian production system." Thesis, 2005. https://figshare.com/articles/thesis/Improving_fruit_soluble_solids_content_in_melon_Cucumis_melo_L_reticulatus_group_in_the_Australian_production_system/13421951.
Full textSchneider, Jakob. "On the length of group laws." 2016. https://tud.qucosa.de/id/qucosa%3A36487.
Full textSei C die Klasse der endlichen nilpotenten, auflösbaren, symmetrischen oder halbeinfachen Gruppen und n eine positive ganze Zahl. We diskutieren die folgende Frage über Gruppengesetze: Was ist die Länge des kürzesten nicht-trivialen Gesetzes, das für alle endlichen Gruppen der Klasse C gilt, welche die Ordnung höchstens n haben?:Introduction 0 Essentials from group theory 1 The two main tools 1.1 The commutator lemma 1.2 The extension lemma 2 Nilpotent and solvable groups 2.1 Definitions and basic properties 2.2 Short non-trivial words in the derived series of F_2 2.3 Short non-trivial words in the lower central series of F_2 2.4 Laws for finite nilpotent groups 2.5 Laws for finite solvable groups 3 Semi-simple groups 3.1 Definitions and basic facts 3.2 Laws for the symmetric group S_n 3.3 Laws for simple groups 3.4 Laws for finite linear groups 3.5 Returning to semi-simple groups 4 The final conclusion Index Bibliography
Küchenmeister, Frank. "Sustainable grassland herbage production under drought stress - the role of plant species number and functional group composition." Doctoral thesis, 2013. http://hdl.handle.net/11858/00-1735-0000-001D-C0F8-D.
Full textFrancalanci, Giulio. "Nilpotence relations in products of groups." Doctoral thesis, 2020. http://hdl.handle.net/2158/1197496.
Full textProcházková, Zuzana. "Význačné prvky grupových okruhů." Master's thesis, 2021. http://www.nusl.cz/ntk/nusl-448402.
Full textΓκοτζαμάνης, Γεώργιος. "Ανάπτυξη νέων "ευφυών" κατά συστάδες συμπολυμερών τύπου ομοπολυμερές-στατιστικό συμπολυμερές." Thesis, 2007. http://nemertes.lis.upatras.gr/jspui/handle/10889/613.
Full textIn the present thesis four new model and “smart” water-soluble copolymers were designed and synthesized via the group transfer polymerization method. These copolymers self-assemble in aqueous solutions into micelles or elastically physical network (depending on the copolymer architecture), responding readily to changes of the external stimuli such as pH, temperature and ionic strength. The innovation of these polymers is due to the fact that a block copolymer incorporates a statistical block, the physicochemical properties of which, result from combination of the properties of the structural monomers. These copolymers had general type A-b-(B-co-C) or A-b-(B-co-C)-b-A. The homopolymer block A could be either hydrophilic (neutral or cationic) or hydrophobic, while the statistical block (B-co-C) was either a polyampholyte with tunable isoelectric point (IEP), or a hydrophilic block with tunable lower critical solution temperature (LCST). The polyampholyte block could be positively charged in acidic conditions and negatively charged in basic conditions, while at the IEP became neutral. Copolymers of the type A-b-(B-co-C) Three different copolymers of the type A-b-(B-co-C) were synthesized. In the first case block A was the hydrophobic PMMA and the statistical block was the polyampholyte P(DEA-co-MAA). When the copolymer PMMA-b-P(DEA-co-MAA) was dissolved in aqueous media, spherical micelles with PMMA core and P(DEA-co-MAA) corona were formed at room temperature and at pH out of the IEP region. At the IEP the copolymer precipitated from the solution due to the neutralization of the statistical polyampholyte block. Inspired by the morphology of the micelles formed by the linear copolymer PMMA-b-P(DEA-co-MAA), the star amphoteric copolymer was synthesized [PMMA-b-P(DEA-co-MAA)]n, which forms unimolecular PMMA-core micelles and corona that changes the charge sign upon changing the solution pH. In the second case the statistical block was the same as above, while the homopolymer block consisted of the hydrophilic PEGMA, which exhibits LCST and becomes hydrophobic above it. Due to the double sensitivity of this copolymer to pH and temperature, three types of micelles were formed in aqueous solutions. At the IEP and room temperature neutral-corona micelles were formed, at which the core consisted of the statistical P(DEA-co-MAA) block. Multimolecular association took place also at temperatures above LCST of the PEGMA block and at pH below and above the IEP of the polyampholyte Block. In the latter cases PEGMA block formed the core of the micelles. Finally, in the third copolymer the statistical block P(EGMA-co-MMA) consisted of one hydrophilic and one hydrophobic monomer and its LCST was reduced by increasing the MMA content. The combination of this block with the weak cationic polyelectrolyte PDEA block resulted in a double hydrophilic, double-responsive polymeric system. At ambient temperature and acidic environment the P(EGMA-co-MMA)-b-PDEA copolymer was molecularly dissolved. By increasing either the pH or the temperature of the solution, “schizophrenic” PDEA-core or P(EGMA-co-MMA)-core micelles were formed, respectively. With simultaneous increment oh pH and temperature the copolymer precipitated. Copolymers of the type A-b-(B-co-C)-b-A Inspired by the copolymer PMMA-b-P(DEA-co-MAA), the triblock telechelic polyampholyte PMMA-b-P(DEA-co-MAA)-b-A was prepared. Physical networks of this copolymer were formed at pH values out of the isoelectric point (IEP) region of the polyampholyte block. The hydrogel was formed by water absorbion of a dry polymer film and exhibited elastic behavior at acidic as well as at basic conditions. Finally in the semi-dilute regime a large number of polymer chains incorporated to form finite size clusters. These aggregates increased their size by increasing the ionization degree of the polymer chain, as a result of the electrostatic repulsive forces between the charged monomer units.
Haubold, Niko. "Compressed Decision Problems in Groups." Doctoral thesis, 2011. https://ul.qucosa.de/id/qucosa%3A11370.
Full textCzenky, Agustina Mercedes. "Sobre las categorías modulares de dimensión impar." Bachelor's thesis, 2019. http://hdl.handle.net/11086/11747.
Full textEl objetivo de este trabajo es presentar de la manera más autocontenida posible a las categorías modulares de dimensión impar, sus propiedades e invariantes. En la primera parte se exponen las nociones de categorías tensoriales y categorías de fusión. Se presentan construcciones útiles, como la graduación y la equivariantización por grupos finitos, y clases distinguidas de categorías: punteadas, de tipo grupo, nilpotentes, solubles, entre otras. En una segunda parte se aborda el estudio de las categorías modulares y se tratan algunos de sus invariantes: S-matriz, T -matriz, Sumas de Gauss e Indicadores de Frobenius-Schur. Finalmente se discuten algunos problemas actuales y nuevas herramientas, como el Teorema de Cauchy para categorías de fusión esféricas, la clasificación de categorías modulares de dimensión impar de rango pequeño y la clasificación de categorías modulares casi libres de cuadrados de dimensión impar. Se presentan además algunos resultados propios vinculados a dichos problemas y técnicas.
The main goal of this work is to present, in the most comprehensive way we can achieve, odd dimensional modular categories, their properties and invariants. The first part sets out the notions of tensor and fusion categories. Useful constructions are included, such as grading and equivariantization by finite groups, and distinguished classes of categories are introduced: pointed, group-theoretical, nilpotent and solvable, among others. A second part approaches the study of modular categories and some of their invariants: S-matrix, T -matrix, Gauss Sums and Frobenius-Schur Indicators. Finally, some current problems and new techniques are discussed, such as the Cauchy Theorem for spherical fusion categories, the classification of odd dimensional modular categories of small rank and the classification of odd dimensional almost square-free modular categories. Some original results related to the mentioned problems and techniques are exhibited.
Origlia, Marcos Miguel. "Estructuras localmente conformes Kähler y localmente conformes simplécticas en solvariedades compacta." Doctoral thesis, 2017. http://hdl.handle.net/11086/5837.
Full textEn esta tesis estudiamos las estructuras localmente conformes Kähler (LCK) y localmente conformes simplécticas (LCS) invariantes a izquierda en grupos de Lie, o equivalentemente tales estructuras en álgebras de Lie. Luego se buscan retículos (subgrupos discretos co-compactos) en dichos grupos. De esta manera obtenemos estructuras LCK o LCS en las solvariedades compactas (cociente de un grupo de Lie por un retículo). Específicamente estudiamos las estructuras LCK en solvariedades con estructuras complejas abelianas. Luego describimos explícitamente la estructura de las álgebras de Lie que admiten estructuras de Vaisman. También determinamos los grupos de Lie casi abelianos que admiten estructuras LCK o LCS y además analizamos la existencia de retículos en ellos. Finalmente desarrollamos un método para construir de manera sistemática ejemplos de álgebras de Lie equipadas con estructuras LCK o LCS a partir de un álgebra de Lie que ya admite tales estructuras y una representación compatible.
In this thesis we study left invariant locally conformal Kähler (LCK) structures and locally conformal symplectic structures (LCS) on Lie groups, or equivalently such structures on Lie algebras. Then we analize the existence of lattices (co-compact discrete subgroups) on these Lie groups. Therefore, we obtain LCK or LCS structures on compact solvmanifolds (quotients of a Lie group by a lattice). Specifically we study LCK structures on solvmanifold where the complex structure is abelian. Then we describe the structure of a Lie algebra admitting a Vaisman structure. On the other hand we determine the almost abelian Lie groups equipped with a LCK or LCS structures, and we also analize the existence of lattices on these groups. Finally we construct a method to produce examples of Lie algebras admitting LCK or LCS structures beginning with a Lie algebra with these structures and a compatible representation.
Jauffret, Colin. "Modules réflexifs de rang 1 sur les variétés nilpotentes." Thèse, 2016. http://hdl.handle.net/1866/19543.
Full textLet G be a simple, connected, simply connected complex linear algebraic group with parabolic subgroup P G and nilpotent ideal n p. The proper collapsing map G x P n = Gn factors through the normal affine variety N := SpecC [G x P n] which is called a nilpotent variety. Assuming the collapsing is generically finite, we describe the equivariant divisor class group of N using rank 1 reflexive equivariant C[N]-modules. A representative of each class may be chosen as global sections of a line bundle over G x P' n' where G x P' n' = Gn' is a possibly distinct collapsing that factors through the same nilpotent variety. Assuming either G is of type A or the collapsing comes from specific weighted Dynkin diagrams,we showthat each representative arise from a weight that may be chosen dominant. Moreover, if the module represents a torsion element within the class group, then it is Cohen– Macaulay and we deduce a cohomological vanishing theorem.
Zakiyanov, Oskar. "Nové biomarkery u pacientů s onemocněním ledvin." Doctoral thesis, 2014. http://www.nusl.cz/ntk/nusl-338466.
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