On the irreducible Specht modules for Iwahori--Hecke algebras of type A with $q=-1$

Abstract

Let $p$ be a prime and $\mathbb{F}$ a field of characteristic $p$, and let ${\mathcal{H}}_n$ denote the Iwahori--Hecke algebra of the symmetric group ${\mathfrak{S}}_n$ over $\mathbb{F}$ at $q=-1$. We prove that there are only finitely many partitions $\lambda$ such that both $\lambda$ and ${\lambda }^{\prime }$ are 2-singular and the Specht module $S^{\lambda }$ for $\mathcal{H}_{|\la|}$ is irreducible.

References in corpus (1)

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

Cited by in corpus (1)

• Irreducible Specht modules for Iwahori-Hecke algebras of type B