Homological stability for Iwahori-Hecke algebras of type B

Abstract

We show that homological stability holds for the family of Iwahori-Hecke algebras of type Bn, where homology is identified with the relevant Tor group. This family of algebras is related to the Coxeter groups of type Bn, which are groups of signed permutations. The result builds on Hepworth's result for Iwahori-Hecke algebras of type An.

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