04934nam 2200661 450 991078825770332120180613001217.01-4704-1929-7(CKB)3150000000020205(EBL)3114294(SSID)ssj0001335227(PQKBManifestationID)11747411(PQKBTitleCode)TC0001335227(PQKBWorkID)11286221(PQKB)10954613(MiAaPQ)EBC3114294(RPAM)18021162(PPN)197102662(EXLCZ)99315000000002020520150416h20142014 uy 0engur|n|---|||||txtccrRecent 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], editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (280 p.)Contemporary Mathematics,1098-3627 ;623Description based upon print version of record.0-8218-9852-3 Includes bibliographical references at the end of each chapters.""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""Contemporary mathematics (American Mathematical Society) ;623.Representations of groupsCongressesQuantum groupsCongressesGeometry, AlgebraicCongressesMathematical physicsCongressesRepresentations of groupsQuantum groupsGeometry, AlgebraicMathematical physics512/.2214M1516T0517A3217B1017B3717B6717B6920G0520G4381R50mscAchar Pramod N.1976-Special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry(2012 :New Orleans, Louisiana)MiAaPQMiAaPQMiAaPQBOOK9910788257703321Recent advances in representation theory, quantum groups, algebraic geometry, and related topics3855190UNINA