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Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev
| Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev |
| Autore | Brundan Jonathan <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (127 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear algebraic groups
Representations of groups Group schemes (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0297-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1 Quantum linear groups and polynomial induction""; ""1.1 Symmetric groups and Hecke algebras""; ""1.2 The g-Schur algebra""; ""1.3 Tensor products and Levi subalgebras""; ""1.4 Polynomial induction""; ""1.5 Schur algebra induction""; ""2 Classical results on GL[sub(n)]""; ""2.1 Conjugacy classes and Levi subgroups""; ""2.2 Harish-Chandra induction and restriction""; ""2.3 Characters and Deligne-Lusztig operators""; ""2.4 Cuspidal representations and blocks""; ""2.5 Howlett-Lehrer theory and the Gelfand-Graev representation""
""3 Connecting GL[sub(n)] with quantum linear groups""""3.1 Schur functors""; ""3.2 The cuspidal algebra""; ""3.3 'Symmetric' and 'exterior' powers""; ""3.4 Endomorphism algebras""; ""3.5 Standard modules""; ""4 Further connections and applications""; ""4.1 Base change""; ""4.2 Connecting Harish-Chandra induction with tensor products""; ""4.3 p-Singular classes""; ""4.4 Blocks and decomposition numbers""; ""4.5 The Ringel dual of the cuspidal algebra""; ""5 The affine general linear group""; ""5.1 Levels and the branching rule from AGL[sub(n)] to GL[sub(n)]"" ""5.2 Affine induction operators""""5.3 The affine cuspidal algebra""; ""5.4 The branching rule from GL[sub(n)] to AGL[sub(n�1)""; ""5.5 A dimension formula for irreducibles""; ""Bibliography"" |
| Record Nr. | UNINA-9910480512203321 |
Brundan Jonathan <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev
| Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev |
| Autore | Brundan Jonathan <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (127 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear algebraic groups
Representations of groups Group schemes (Mathematics) |
| ISBN | 1-4704-0297-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1 Quantum linear groups and polynomial induction""; ""1.1 Symmetric groups and Hecke algebras""; ""1.2 The g-Schur algebra""; ""1.3 Tensor products and Levi subalgebras""; ""1.4 Polynomial induction""; ""1.5 Schur algebra induction""; ""2 Classical results on GL[sub(n)]""; ""2.1 Conjugacy classes and Levi subgroups""; ""2.2 Harish-Chandra induction and restriction""; ""2.3 Characters and Deligne-Lusztig operators""; ""2.4 Cuspidal representations and blocks""; ""2.5 Howlett-Lehrer theory and the Gelfand-Graev representation""
""3 Connecting GL[sub(n)] with quantum linear groups""""3.1 Schur functors""; ""3.2 The cuspidal algebra""; ""3.3 'Symmetric' and 'exterior' powers""; ""3.4 Endomorphism algebras""; ""3.5 Standard modules""; ""4 Further connections and applications""; ""4.1 Base change""; ""4.2 Connecting Harish-Chandra induction with tensor products""; ""4.3 p-Singular classes""; ""4.4 Blocks and decomposition numbers""; ""4.5 The Ringel dual of the cuspidal algebra""; ""5 The affine general linear group""; ""5.1 Levels and the branching rule from AGL[sub(n)] to GL[sub(n)]"" ""5.2 Affine induction operators""""5.3 The affine cuspidal algebra""; ""5.4 The branching rule from GL[sub(n)] to AGL[sub(n�1)""; ""5.5 A dimension formula for irreducibles""; ""Bibliography"" |
| Record Nr. | UNINA-9910788842103321 |
|
Brundan Jonathan <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev
| Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev |
| Autore | Brundan Jonathan <1970-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2001 |
| Descrizione fisica | 1 online resource (127 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Linear algebraic groups
Representations of groups Group schemes (Mathematics) |
| ISBN | 1-4704-0297-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""1 Quantum linear groups and polynomial induction""; ""1.1 Symmetric groups and Hecke algebras""; ""1.2 The g-Schur algebra""; ""1.3 Tensor products and Levi subalgebras""; ""1.4 Polynomial induction""; ""1.5 Schur algebra induction""; ""2 Classical results on GL[sub(n)]""; ""2.1 Conjugacy classes and Levi subgroups""; ""2.2 Harish-Chandra induction and restriction""; ""2.3 Characters and Deligne-Lusztig operators""; ""2.4 Cuspidal representations and blocks""; ""2.5 Howlett-Lehrer theory and the Gelfand-Graev representation""
""3 Connecting GL[sub(n)] with quantum linear groups""""3.1 Schur functors""; ""3.2 The cuspidal algebra""; ""3.3 'Symmetric' and 'exterior' powers""; ""3.4 Endomorphism algebras""; ""3.5 Standard modules""; ""4 Further connections and applications""; ""4.1 Base change""; ""4.2 Connecting Harish-Chandra induction with tensor products""; ""4.3 p-Singular classes""; ""4.4 Blocks and decomposition numbers""; ""4.5 The Ringel dual of the cuspidal algebra""; ""5 The affine general linear group""; ""5.1 Levels and the branching rule from AGL[sub(n)] to GL[sub(n)]"" ""5.2 Affine induction operators""""5.3 The affine cuspidal algebra""; ""5.4 The branching rule from GL[sub(n)] to AGL[sub(n�1)""; ""5.5 A dimension formula for irreducibles""; ""Bibliography"" |
| Record Nr. | UNINA-9910808070703321 |
|
Brundan Jonathan <1970->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2001 | ||
| 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 | ||
| ||