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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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Representations of groups
Quantum groups Geometry, Algebraic Mathematical physics |
| ISBN | 1-4704-1929-7 |
| Classificazione | 14M1516T0517A3217B1017B3717B6717B6920G0520G4381R50 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788257703321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Representations of groups
Quantum groups Geometry, Algebraic Mathematical physics |
| ISBN | 1-4704-1929-7 |
| Classificazione | 14M1516T0517A3217B1017B3717B6717B6920G0520G4381R50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910820659503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors
| Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of groups
Representations of quantum groups Affine algebraic groups Representations of Lie algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8088-8
0-8218-3924-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Talks""; ""List of Participants""; ""Extensions for finite groups of Lie type II: Filtering the truncated induction functor""; ""Algebras, representations and their derived categories over finite fields""; ""On localization of D-modules""; ""Representations of reduced enveloping algebras and cells in the affine Weyl group""; ""Nakajima's monomials and crystal bases""; ""A new Lie bialgebra structure on sl(2, 1)""; ""The Steinberg tensor product theorem for GL(m|n)""; ""Cyclotomic q-Schur algebras and Schur-Weyl duality""
""Geometric crystals and affine crystals""""Self-extensions for finite symplectic groups via algebraic groups""; ""Classification of finite dimensional simple Lie algebras in prime characteristics""; ""From quantum groups to unitary modular tensor categories""; ""A trip from representations of the Kronecker quiver to canonical bases of quantum affine algebras"" |
| Record Nr. | UNINA-9910480989703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors
| Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of groups
Representations of quantum groups Affine algebraic groups Representations of Lie algebras |
| ISBN |
0-8218-8088-8
0-8218-3924-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Talks""; ""List of Participants""; ""Extensions for finite groups of Lie type II: Filtering the truncated induction functor""; ""Algebras, representations and their derived categories over finite fields""; ""On localization of D-modules""; ""Representations of reduced enveloping algebras and cells in the affine Weyl group""; ""Nakajima's monomials and crystal bases""; ""A new Lie bialgebra structure on sl(2, 1)""; ""The Steinberg tensor product theorem for GL(m|n)""; ""Cyclotomic q-Schur algebras and Schur-Weyl duality""
""Geometric crystals and affine crystals""""Self-extensions for finite symplectic groups via algebraic groups""; ""Classification of finite dimensional simple Lie algebras in prime characteristics""; ""From quantum groups to unitary modular tensor categories""; ""A trip from representations of the Kronecker quiver to canonical bases of quantum affine algebras"" |
| Record Nr. | UNINA-9910788790103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors
| Representations of algebraic groups, quantum groups, and Lie algebras : AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah / / Georgia Benkart [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 512/.22 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Representations of groups
Representations of quantum groups Affine algebraic groups Representations of Lie algebras |
| ISBN |
0-8218-8088-8
0-8218-3924-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Talks""; ""List of Participants""; ""Extensions for finite groups of Lie type II: Filtering the truncated induction functor""; ""Algebras, representations and their derived categories over finite fields""; ""On localization of D-modules""; ""Representations of reduced enveloping algebras and cells in the affine Weyl group""; ""Nakajima's monomials and crystal bases""; ""A new Lie bialgebra structure on sl(2, 1)""; ""The Steinberg tensor product theorem for GL(m|n)""; ""Cyclotomic q-Schur algebras and Schur-Weyl duality""
""Geometric crystals and affine crystals""""Self-extensions for finite symplectic groups via algebraic groups""; ""Classification of finite dimensional simple Lie algebras in prime characteristics""; ""From quantum groups to unitary modular tensor categories""; ""A trip from representations of the Kronecker quiver to canonical bases of quantum affine algebras"" |
| Record Nr. | UNINA-9910809223003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
| Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev |
| Autore | Brundan Jonathan <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (122 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of quantum groups
Lie superalgebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0524-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](Ï?)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms""
""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(Ï€)"" ""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography"" |
| Record Nr. | UNINA-9910480756603321 |
Brundan Jonathan <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
| Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev |
| Autore | Brundan Jonathan <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (122 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of quantum groups
Lie superalgebras |
| ISBN | 1-4704-0524-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](Ï?)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms""
""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(Ï€)"" ""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography"" |
| Record Nr. | UNINA-9910788853303321 |
|
Brundan Jonathan <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
| Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev |
| Autore | Brundan Jonathan <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (122 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of quantum groups
Lie superalgebras |
| ISBN | 1-4704-0524-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](Ï?)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms""
""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(Ï€)"" ""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography"" |
| Record Nr. | UNINA-9910827764003321 |
|
Brundan Jonathan <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
