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101 0 $aeng
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200 10$aQuantum linear groups and representations of GLn (Fq) /$fJonathan Brundan, Richard Dipper, Alexander Kleshchev
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2001.
215   $a1 online resource (127 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 706
300   $a"January 2001, volume 149, Number 706 (first of 4 numbers)."
311   $a0-8218-2616-6 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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)]""
327   $a""5.2 Affine induction operators""""5.3 The affine cuspidal algebra""; ""5.4 The branching rule from GL[sub(n)] to AGL[sub(na???1)""; ""5.5 A dimension formula for irreducibles""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 706.
606   $aLinear algebraic groups
606   $aRepresentations of groups
606   $aGroup schemes (Mathematics)
615  0$aLinear algebraic groups.
615  0$aRepresentations of groups.
615  0$aGroup schemes (Mathematics)
676   $a510 s
676   $a512/.2
700   $aBrundan$b Jonathan$f1970-$01565969
702   $aDipper$b Richard
702   $aKleshche?v$b A. S$g(Aleksandr Sergeevich),
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788842103321
996   $aQuantum linear groups and representations of GLn (Fq)$93837751
997   $aUNINA