|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910808070703321 |
|
|
Autore |
Brundan Jonathan <1970-> |
|
|
Titolo |
Quantum linear groups and representations of GLn (Fq) / / Jonathan Brundan, Richard Dipper, Alexander Kleshchev |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 2001 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (127 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 706 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Linear algebraic groups |
Representations of groups |
Group schemes (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"January 2001, volume 149, Number 706 (first of 4 numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
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 |
|
|
|
|