摘要

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