Homological stability for Iwahori-Hecke algebras of type Bn

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.(c) 2023 Elsevier B.V. All rights reserved.

Automated summary

We demonstrate the homological stability for the family of Iwahori-Hecke algebras of type Bn, where homology is recognized by the relevant Tor group. This family of algebras is linked to the Coxeter groups of type Bn, which are groups of signed permutations. This result extends Hepworth's findings for Iwahori-Hecke algebras of type An.