Fisher, A. orcid.org/0009-0000-0589-7134 and Graves, D. orcid.org/0000-0003-1136-9295 (2026) Cohomology of dilute Temperley–Lieb algebras. Canadian Mathematical Bulletin. ISSN: 0008-4395
Abstract
Dilute Temperley–Lieb algebras are variants of Temperley–Lieb algebras arising in statistical mechanics in the study of solvable lattice models. In this article, we prove that the (co)homology of dilute Temperley–Lieb algebras vanishes in all positive degrees.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © The Author(s), 2026. Published by Cambridge University Press on behalf of Canadian Mathematical Society. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. |
| Keywords: | Temperley–Lieb algebras; dilute Temperley–Lieb algebras; cohomology of algebras; diagram algebras |
| Dates: |
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| Institution: | The University of Sheffield |
| Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) The University of Sheffield > Faculty of Engineering (Sheffield) > School of Mechanical, Aerospace and Civil Engineering |
| Date Deposited: | 07 Apr 2026 15:52 |
| Last Modified: | 07 Apr 2026 15:52 |
| Status: | Published online |
| Publisher: | Canadian Mathematical Society |
| Refereed: | Yes |
| Identification Number: | 10.4153/s0008439526101829 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:239763 |
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