A Stratification of Generic Representation Theory and Generalized Schur Algebras
نویسندگان
چکیده
منابع مشابه
Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs
We introduce a generalized version of a q-Schur algebra (of parabolic type) for arbitrary Hecke algebras over extended Weyl groups. We describe how the decomposition matrix of a finite group with split BN -pair, with respect to a non-describing prime, can be partially described by the decomposition matrices of suitably chosen q-Schur algebras. We show that the investigated structures occur natu...
متن کاملGeneralized Q-schur Algebras and Modular Representation Theory of Nite Groups with Split (bn)-pairs
We introduce a generalized version of a q-Schur algebra (of parabolic type) for arbitrary Hecke algebras over extended Weyl groups. We describe how the decomposition matrix of a nite group with split BN-pair, with respect to a non-describing prime, can be partially described by the decomposition matrices of suitably chosen q-Schur algebras. We show that the investigated structures occur natural...
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We define a generic multiplication in quantised Schur algebras and thus obtain a new algebra structure in the Schur algebras. We prove that via a modified version of the map from quantum groups to quantised Schur algebras, defined in [1], a subalgebra of this new algebra is a quotient of the monoid algebra in Hall algebras studied in [10]. We also prove that the subalgebra of the new algebra gi...
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We obtain a presentation by generators and relations for generalized Schur algebras and their quantizations. This extends earlier results obtained in the type A case. The presentation is compatible with Lusztig’s modified form : U of a quantized enveloping algebra. We show that generalized Schur algebras inherit a canonical basis from : U, that this gives them a cellular structure, and thus the...
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The Ariki-Koike algebras were introduced by Ariki and Koike [8] who were interested in them because they are a natural generalization of the Iwahori-Hecke algebras of types A and B. At almost the same time, Broué and Malle [21] attached to each complex reflection group a cyclotomic Hecke algebra which, they conjectured, should play a role in the decomposition of the induced cuspidal representat...
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ژورنال
عنوان ژورنال: K-Theory
سال: 2002
ISSN: 1573-0514,0920-3036
DOI: 10.1023/a:1016357323204