%0 Journal Article
%T Branching rules for Hecke Algebras of Type $D_{n}$
%A Jun Hu
%J Mathematics
%D 2005
%I arXiv
%X In this paper we study the branching problems for Hecke algebra $\H(D_n)$ of type $D_n$. We explicitly describe the decompositions of the socle of the restriction of each irreducible $\H(D_n)$-representation to $\H(D_{n-1})$ 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.
%U http://arxiv.org/abs/math/0512206v1