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Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs
-
Richard Dipper
and
Jochen Gruber
Published/Copyright:
June 12, 2008
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.
Received: 1998-08-19
Accepted: 1998-12-02
Published Online: 2008-06-12
Published in Print: 1999-06-25
© Walter de Gruyter
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Articles in the same Issue
- Projection constants of symmetric spaces and variants of Khintchine's inequality
- Extending families of curves over log regular schemes
- Eigenvalue pinching for Riemannian vector bundles
- On the density of rational points on elliptic fibrations
- 2-generator arithmetic Kleinian groups
- Locally split and locally finite twin buildings of 2-spherical type
- Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs
- Galoisrealisierungen klassischer Gruppen
