Mutating signed τ-exceptional sequences

Abstract

We establish some properties of τ -exceptional sequences for finite-dimensional algebras. In an earlier paper, we established a bijection between the set of ordered support τ -tilting modules and the set of complete signed τ -exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a τ -exceptional sequence obtained by mutating the corresponding ordered support τ -tilting module via a construction of Adachi-Iyama-Reiten.

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Item Type:	Article
Authors/Creators:	Buan, A.B. Marsh, B. https://orcid.org/0000-0002-4268-8937
Copyright, Publisher and Additional Information:	© The Author(s), 2023. This article has been published in a revised form in https://doi.org/10.1017/S0017089523000241. This version is free to view and download for private research and study only. Not for re-distribution or re-use.
Keywords:	Mutation, exceptional sequences, tau-tilting
Dates:	Published: 12 October 2023 Published (online): 12 October 2023 Accepted: 27 June 2023
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	24 Aug 2023 15:43
Last Modified:	12 Apr 2024 00:13
Status:	Published
Publisher:	Cambridge University Press
Identification Number:	10.1017/S0017089523000241
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:201721

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Mutating signed τ-exceptional sequences

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