Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras

Details Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras

2008-10-22

arxiv.org/abs/0810.3981v1

Mathematics

Representation Theory

30 pages

Scientific paper

We establish branching rules between some Iwahori-Hecke algebra of type B and their subalgebras which are defined as fixed subalgebras by involutions including Goldman involution. The Iwahori-Hecke algebra of type D is one of such fixed subalgebras. We also obtain branching rules between those fixed subalgebras and their intersection subalgebra. We determine basic sets of irreducible representations of those fixed subalgebras and their intersection subalgebra by making use of generalized Clifford theory.

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