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Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs

Richard Dipper·Jochen Gruber
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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.

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Richard Dipper, Jochen Gruber. 1998-08-21. Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs. https://arxiv.org/abs/math/9808096

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