Msapato, D orcid.org/0000-0001-9376-4648 (2022) Counting the number of τ-exceptional sequences over Nakayama algebras. Algebras and Representation Theory, 25 (5). pp. 1071-1105. ISSN 1386-923X
Abstract
The notion of a τ-exceptional sequence was introduced by Buan and Marsh in (2018) as a generalisation of an exceptional sequence for finite dimensional algebras. We calculate the number of complete τ-exceptional sequences over certain classes of Nakayama algebras. In some cases, we obtain closed formulas which also count other well known combinatorial objects, and exceptional sequences of path algebras of Dynkin quivers.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2021. This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0) (https://creativecommons.org/licenses/by/4.0/) |
Keywords: | τ-Exceptional sequence; Exceptional sequence; Nakayama algebras; τ-Perpendicular category; Restricted Fubini numbers |
Dates: |
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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: | 29 Sep 2021 11:13 |
Last Modified: | 25 Jun 2023 22:46 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s10468-021-10060-y |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:178271 |