LEADER 04847nam 2200649 450 001 9910480118203321 005 20180613001217.0 010 $a1-4704-1929-7 035 $a(CKB)3150000000020205 035 $a(EBL)3114294 035 $a(SSID)ssj0001335227 035 $a(PQKBManifestationID)11747411 035 $a(PQKBTitleCode)TC0001335227 035 $a(PQKBWorkID)11286221 035 $a(PQKB)10954613 035 $a(MiAaPQ)EBC3114294 035 $a(PPN)197102662 035 $a(EXLCZ)993150000000020205 100 $a20150416h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aRecent advances in representation theory, quantum groups, algebraic geometry, and related topics $eAMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana /$fPramod N. Achar, [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2014. 210 4$dİ2014 215 $a1 online resource (280 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$v623 300 $aDescription based upon print version of record. 311 $a0-8218-9852-3 320 $aIncludes bibliographical references at the end of each chapters. 327 $a""References""""Dimensions of imaginary root spaces of hyperbolic Kaca???Moody algebras""; ""1. Introduction""; ""2. Berman-Moody formula and Peterson formula""; ""3. Works of Feingold and Frenkel, and Kac, Moody and Wakimoto""; ""4. Kanga???s generalizations""; ""5. Frenkela???s conjecture""; ""6. Multiplicities of norm zero root spaces""; ""7. Extended and overextended Dynkin diagrams""; ""8. Root multiplicities for a???a??? and a???a???""; ""9. Borcherdsa???s constructions""; ""10. Asymptotics by the method of Hardy-Ramanujan-Rademacher""; ""11. Summary of results on root multiplicities"" 327 $a""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 a???_{ }""; ""3. A parametrization""; ""Acknowledgements""; ""References""; ""On the classification of irreducible Gelfand-Tsetlin modules of (3)""; ""1. Introduction""; ""2. Preliminaries."" 327 $a""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"" 327 $a""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 _{ }"" 327 $a""5. Converse of Kac-Watanabe-Gordeev Theorem"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v623. 606 $aRepresentations of groups$vCongresses 606 $aQuantum groups$vCongresses 606 $aGeometry, Algebraic$vCongresses 606 $aMathematical physics$vCongresses 608 $aElectronic books. 615 0$aRepresentations of groups 615 0$aQuantum groups 615 0$aGeometry, Algebraic 615 0$aMathematical physics 676 $a512/.22 702 $aAchar$b Pramod N.$f1976- 712 12$aSpecial sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry$f(2012 :$eNew Orleans, Louisiana) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480118203321 996 $aRecent advances in representation theory, quantum groups, algebraic geometry, and related topics$92097200 997 $aUNINA