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Record Nr. |
UNINA9910788257703321 |
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Titolo |
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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2014 |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (280 p.) |
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Collana |
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Contemporary Mathematics, , 1098-3627 ; ; 623 |
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Classificazione |
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14M1516T0517A3217B1017B3717B6717B6920G0520G4381R50 |
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Disciplina |
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Soggetti |
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Representations of groups |
Quantum groups |
Geometry, Algebraic |
Mathematical physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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""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""; |
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""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"" |
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