Branching rules for Hecke Algebras of Type D_(n)
classification
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hecketypealgebrasbranchingirreduciblealgebraalwayscorresponding
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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.
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