Homological stability for Iwahori-hecke algebras

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We show that the Iwahori-Hecke algebras Hn of type An−1 satisfy homological stability, where homology is interpreted as an appropriate Tor group. Our result precisely recovers Nakaoka’s homological stability result for the symmetric groups in the case that the defining parameter is equal to 1. We believe that this paper, and our joint work with Boyd on Temperley-Lieb algebras, are the first time that the techniques of homological stability have been applied to algebras that are not group algebras.
Original languageEnglish
Pages (from-to)2174-2215
JournalJournal of Topology
Issue number4
Early online date8 Oct 2022
Publication statusPublished - Dec 2022

Bibliographical note

I would like to thank the anonymous referee, whose comments helped to significantly improve the readability of the paper.


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