A Specht filtration of an induced Specht module

Andrew Mathas

Abstract

Let ${\mathcal{H}}_n$ be a (degenerate or non-degenerate) Hecke algebra of type $G(l,1,n)$, defined over a commutative ring $R$ with $1$, and let $S(\mu )$ be a Specht module for ${\mathcal{H}}_n$. This paper shows that the induced Specht module $S(\mu ){\otimes }_{{\mathcal{H}}_n}{\mathcal{H}}_{n+1}$ has an explicit Specht filtration.

Keywords: Hecke algebras, Specht modules, induction.

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