A Specht filtration of an induced Specht module

Andrew Mathas

Abstract

Let H_n be a (degenerate or non-degenerate) Hecke algebra of type G(l,1,n), defined over a commutative ring R with one, and let S(μ) be a Specht module for H_n. This paper shows that the induced Specht module S(μ)⊗_HnH_n+1 has an explicit Specht filtration.

Keywords: Hecke algebras, Specht modules, induction.

AMS Subject Classification: Primary 20C08; secondary 20C30, 05E10.