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Generalized \(q\)-Schur algebras and the ways to approach them. (English) Zbl 0999.20007

Collins, Michael J. (ed.) et al., Modular representation theory of finite groups. Proceedings of a symposium, University of Virginia, Charlottesville, VA, USA, May 8-15, 1998. Berlin: de Gruyter. 189-210 (2001).
This paper deals with describing the various ways to approach generalized \(q\)-Schur algebras, which are certain endomorphism algebras arising from representations of finite groups \(G\) of Lie type and their associated Hecke algebras. The paper describes the standardly based algebras (a basis approach), stratified algebras (a homological approach) and the quantum group approach.
For the entire collection see [Zbl 0977.00027].

MSC:

20C33 Representations of finite groups of Lie type
20C08 Hecke algebras and their representations