Filtrations on Projective Modules for Iwahori–hecke Algebras
نویسنده
چکیده
We consider a generic Iwahori–Hecke algebra HO associated with a finite Weyl group, defined over a suitable discrete valuation ring O. We define filtrations on HO-modules in terms of Lusztig’s afunction. For a projective module, we show that the quotients of this filtration are direct sums of irreducible lattices. As an application, we prove refinements of the results on decomposition numbers obtained by the first named author in [4].
منابع مشابه
Some reducible Specht modules for Iwahori – Hecke algebras of type A with q = − 1
The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals −1. We prove the reducibility of a large class of Specht modules for these algebras.
متن کاملN ov 2 00 8 Some reducible Specht modules for Iwahori – Hecke algebras of type A with q = − 1
The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals −1. We prove the reducibility of a large class of Specht modules for these algebras.
متن کاملN ov 2 00 8 Some reducible Specht modules for Iwahori – Hecke algebras of type A with q = − 1 Matthew
The reducibility of the Specht modules for the Iwahori–Hecke algebras in type A is still open in the case where the defining parameter q equals −1. We prove the reducibility of a large class of Specht modules for these algebras.
متن کاملIrreducible Specht Modules for Iwahori–hecke Algebras of Type B
We consider the problem of classifying irreducible Specht modules for the Iwahori–Hecke algebra of type B with parameters Q, q. We solve this problem completely in the case where q is not a root of unity, and in the case q = −1 we reduce the problem to the corresponding problem in type A.
متن کاملSpecht modules and semisimplicity criteria for Brauer and Birman–Murakami–Wenzl algebras
A construction of bases for cell modules of the Birman–Murakami–Wenzl (or B–M–W) algebra Bn(q, r) by lifting bases for cell modules of Bn−1(q, r) is given. By iterating this procedure, we produce cellular bases for B–M–W algebras on which a large Abelian subalgebra, generated by elements which generalise the Jucys–Murphy elements from the representation theory of the Iwahori–Hecke algebra of th...
متن کامل