Irreducible Specht Modules for Iwahori–hecke Algebras of Type B
نویسنده
چکیده
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.
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.
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Let F be a field, n a non-negative integer, λ a partition of n and S λ the corresponding Specht module for the Iwahori–Hecke algebra HF,q(Sn). James and Mathas conjecture a necessary and sufficient condition on λ for S λ to be irreducible. We prove the sufficiency of this condition in the case where F has infinite characteristic and also in the case where q = 1.
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