Irreducible Specht modules for Hecke algebras of type A

By Matthew Fayers. 2005

66 citations recorded by the source corpus.

Abstract 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 H F , q ( S n ) . 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 .

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/424b6a66f0e1713fda0815592528e021efd02ece

Citations in the corpus

• Derived equivalences and finite dimensional algebras (2006, unknown): “Good blocks have also been used by Fayers for the classification of irreducible Specht modules [40] and to show that blocks of weight 3 have decomposition numbers 0 or 1 (for > 3) [41].”