Branching rules for Hecke Algebras of Type $D_n$

Abstract

In this paper we study the branching problems for Hecke algebra $\stackrel{˝}{(}{D}_n)$ of type $D_n$. We explicitly describe the decompositions of the socle of the restriction of each irreducible $\stackrel{˝}{(}{D}_n)$-representation to $\stackrel{˝}{(}{D}_{n-1})$ into irreducible modules by using the corresponding results for type $B$ Hecke algebras. In particular, we show that any such restrictions are always multiplicity free.

References in corpus (1)

• Specht Modules and Branching Rules for Ariki-Koike Algebras

Cited by in corpus (2)

• Crystal bases and simple modules for Hecke algebras of type G(p,p,n)
• The number of simple modules for the Hecke algebras of type G(r,p,n) (with an appendix by Xiaoyi Cui)