Restricting Specht modules of cyclotomic Hecke algebras

TL;DR

This paper proves that restricting Specht modules in cyclotomic Hecke algebras results in modules with a Specht filtration, advancing understanding of their structure in representation theory.

Contribution

It establishes that the restriction of Specht modules for cyclotomic Hecke algebras always admits a Specht filtration, a new structural insight.

Findings

Restriction of Specht modules has a Specht filtration

Applicable to both degenerate and non-degenerate cases

Enhances understanding of module structure in type A algebras

Abstract

This paper proves that the restriction of a Specht module for a (degenerate or non-degenerate) cyclotomic Hecke algebra, or KLR algebra, of type A has a Specht filtration.