Stratifying Endomorphism Algebras Associated to Hecke Algebras
نویسندگان
چکیده
منابع مشابه
Stratifying Endomorphism Algebras Associated to Hecke Algebras
Let G be a nite group of Lie type and let k be a eld of characteristic distinct from the de ning characteristic of G. In studying the non-describing representation theory of G, the endomorphism algebra S(G;k) = EndkG( L J ind G PJ k) plays an increasingly important role. In type A, by work of Dipper and James, S(G; k) identi es with a q-Schur algebra and so serves as a link between the represen...
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Hecke endomorphism algebras are endomorphism algebras over a Hecke algebra associated to a finite Weyl group W of certain q-permutation modules, the “tensor spaces.” Such a space may be defined for any W in terms of a direct sum of certain cyclic modules associated to parabolic subgroups. The associated algebras have important applications to the representations of finite groups of Lie type. In...
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which is Artin’s braid relation. In general we will refer to (1) as the braid relation satisfied by si and sj. In order for W to be a Coxeter group it is required that the given set of relations between elements of I give a presentation of W . Informally, this means that any relation between generators in I can be deduced from the fact that the s ∈ Σ have order 2 and the braid relations. Formal...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7325