The reducible Specht modules for the Hecke algebra ${\mathcal{H}}_{\mathbb{C},-1}({\mathfrak{S}}_n)$

Abstract

The reducible Specht modules for the Hecke algebra ${\mathcal{H}}_{\mathbb{F},q}({\mathfrak{S}}_n)$ have been classified except when $q=-1$. We prove one half of a conjecture which we believe classifies the reducible Specht modules when $q=-1$ and $\mathbb{F}$ has characteristic 0.

29 pages

References in corpus (2)

• Some reducible Specht modules for Iwahori--Hecke algebras of type $A$ with $q=-1$
• An algorithm for semistandardising homomorphisms