In this section

The homology of the Brauer algebras

Boyd, R. , Hepworth, R. and Patzt, P. (2021) The homology of the Brauer algebras. Selecta Mathematica, 27(5), 85. (doi: 10.1007/s00029-021-00697-4)

[img] Text
291258.pdf - Published Version
Available under License Creative Commons Attribution.
635kB

Abstract

This paper investigates the homology of the Brauer algebras, interpreted as appropriate Tor -groups, and shows that it is closely related to the homology of the symmetric group. Our main results show that when the defining parameter δ of the Brauer algebra is invertible, then the homology of the Brauer algebra is isomorphic to the homology of the symmetric group, and that when δ is not invertible, this isomorphism still holds in a range of degrees that increases with n.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Boyd, Dr Rachael
Authors: Boyd, R., Hepworth, R., and Patzt, P.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Selecta Mathematica
Publisher:Springer
ISSN:1022-1824
ISSN (Online):1420-9020
Copyright Holders:Copyright © The Author(s) 2021
First Published:First published in Selecta Mathematica 27(5):85
Publisher Policy:Reproduced under a Creative Commons license

University Staff: Request a correction | Enlighten Editors: Update this record

Deposit and Record Details