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Branching rules for Hecke algebras of type Dn

✍ Scribed by Jun Hu

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
208 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we study the branching problems for the Hecke algebra ℋ︁(D ~n~ ) of type D ~n~ . We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible ℋ︁(D ~n~ )‐representation to ℋ︁(D ~n –1~) by using the corresponding results for type B Hecke algebras. In particular, we show that any such restrictions are always multiplicity free. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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