Homological stability for Iwahori-Hecke algebras of type B
Isaac Moselle
TL;DR
This paper proves homological stability for Iwahori-Hecke algebras of type B_n, extending previous results from type A_n and connecting algebraic properties with Coxeter groups of signed permutations.
Contribution
It establishes homological stability for type B Iwahori-Hecke algebras, generalizing Hepworth's results from type A to type B.
Findings
Homological stability holds for Iwahori-Hecke algebras of type B_n.
Homology is identified with the relevant Tor group.
The result extends stability results from type A to type B.
Abstract
We show that homological stability holds for the family of Iwahori-Hecke algebras of type B_n, where homology is identified with the relevant Tor group. This family of algebras is related to the Coxeter groups of type B_n, which are groups of signed permutations. The result builds on Hepworth's result for Iwahori-Hecke algebras of type A_n.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry