Recent advances in representation theory, quantum groups, algebraic geometry, and related topics : AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana / / Pramod N. Achar, [and three others], editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2014; ©2014
• Descrizione fisica: 1 online resource (280 p.)
• Disciplina: 512/.22
• Soggetto topico: Representations of groups; Quantum groups; Geometry, Algebraic; Mathematical physics
• Classificazione: 14M1516T0517A3217B1017B3717B6717B6920G0520G4381R50
• Persona (resp. second.): AcharPramod N. <1976->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: ""References""""Dimensions of imaginary root spaces of hyperbolic Kacâ€?Moody algebras""; ""1. Introduction""; ""2. Berman-Moody formula and Peterson formula""; ""3. Works of Feingold and Frenkel, and Kac, Moody and Wakimoto""; ""4. Kangâ€?s generalizations""; ""5. Frenkelâ€?s conjecture""; ""6. Multiplicities of norm zero root spaces""; ""7. Extended and overextended Dynkin diagrams""; ""8. Root multiplicities for â??â?€ and â??â??""; ""9. Borcherdsâ€?s constructions""; ""10. Asymptotics by the method of Hardy-Ramanujan-Rademacher""; ""11. Summary of results on root multiplicities"" ; ""Acknowledgments""""References""; ""On some structures of Leibniz algebras""; ""1. Introduction""; ""2. Preliminaries""; ""3. Solvability""; ""4. Nilpotency""; ""5. Semisimplicity""; ""6. Classification of Low dimensional Leibniz algebras""; ""References""; ""A geometric construction of generalized -Schur algebras""; ""Introduction""; ""1. The algebras , ""; ""2. The algebra â??_{ }""; ""3. A parametrization""; ""Acknowledgements""; ""References""; ""On the classification of irreducible Gelfand-Tsetlin modules of (3)""; ""1. Introduction""; ""2. Preliminaries."" ; ""3. Gelfand-Tsetlin modules""""4. Gelfand-Tsetlin modules of (3)""; ""5. Modules in defined by tableaux""; ""6. Localization functors""; ""7. Generic blocks of and localization""; ""8. Example""; ""9. Main results""; ""References""; ""Supersymmetry and the modular double""; ""1. Introduction""; ""2. Reminder of the modular double.""; ""3. Modular double for _{ }( (1|2))""; ""4. -matrix for _{ , ( )}( (1|2))""; ""5. Final remarks""; ""References""; ""On Weyl modules for quantum and hyper loop algebras""; ""Introduction""; ""1. The Algebras"" ; ""2. Weyl Modules""""Acknowledgements""; ""References""; ""Toroidal Lie superalgebras and free field representations""; ""1. Introduction""; ""2. Preliminaries""; ""3. Loop-like toroidal Lie superalgebras ( )""; ""4. Free field realizations of ( )""; ""5. Appendix""; ""References""; ""Invariants of (-1)-skew polynomial rings under permutation representations""; ""0. Introduction""; ""1. Definitions and basic properties""; ""2. Upper bound for the algebra generators""; ""3. Invariants under the full symmetric group _{ }""; ""4. Invariants under _{ }"" ; ""5. Converse of Kac-Watanabe-Gordeev Theorem""
• Titolo autorizzato: Recent advances in representation theory, quantum groups, algebraic geometry, and related topics
• ISBN: 1-4704-1929-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910820659503321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; 623.