Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs
1999 ◽
Vol 1999
(511)
◽
pp. 145-191
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Keyword(s):
Abstract 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 naturally in finite groups of Lie type.
1991 ◽
Vol 43
(4)
◽
pp. 792-813
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2001 ◽
Vol 64
(2)
◽
pp. 472-488
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1988 ◽
Vol 109
◽
pp. 109-116
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1981 ◽
Vol 22
(2)
◽
pp. 151-154
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Keyword(s):