Cohomology of coloured partition algebras
Algebraic Topology
2026-04-01 v2
Abstract
Coloured partition algebras were introduced by Bloss and exhibit a Schur-Weyl duality with certain complex reflection groups. In this paper we show that these algebras exhibit homological stability by demonstrating that their homology groups are stably isomorphic to the homology groups of a wreath product, generalizing work of Boyd--Hepworth--Patzt and Boyde for the usual partition algebras.
Keywords
Cite
@article{arxiv.2411.11776,
title = {Cohomology of coloured partition algebras},
author = {James Cranch and Daniel Graves},
journal= {arXiv preprint arXiv:2411.11776},
year = {2026}
}
Comments
14 pages. Range of isomorphisms in main theorem extended by 1. Accepted for publication in Homology, Homotopy and Applications