03293nam 2200613 450 991080807070332120170822144225.01-4704-0297-1(CKB)3360000000464890(EBL)3114411(SSID)ssj0000973837(PQKBManifestationID)11498513(PQKBTitleCode)TC0000973837(PQKBWorkID)10978868(PQKB)11541814(MiAaPQ)EBC3114411(RPAM)12167112(PPN)195415914(EXLCZ)99336000000046489020000908d2001 uy| 0engur|n|---|||||txtccrQuantum linear groups and representations of GLn (Fq) /Jonathan Brundan, Richard Dipper, Alexander KleshchevProvidence, Rhode Island :American Mathematical Society,2001.1 online resource (127 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 706"January 2001, volume 149, Number 706 (first of 4 numbers)."0-8218-2616-6 Includes bibliographical references.""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(nâ€?1)""; ""5.5 A dimension formula for irreducibles""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 706.Linear algebraic groupsRepresentations of groupsGroup schemes (Mathematics)Linear algebraic groups.Representations of groups.Group schemes (Mathematics)510 s512/.2Brundan Jonathan1970-1652917Dipper RichardKleshchëv A. S(Aleksandr Sergeevich),MiAaPQMiAaPQMiAaPQBOOK9910808070703321Quantum linear groups and representations of GLn (Fq)4003876UNINA