Cohomology of dilute Temperley–Lieb algebras
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.
Authors
- Daniel Graves (ORCID: https://orcid.org/0000-0003-1136-9295)
- A. J. Fisher (ORCID: https://orcid.org/0000-0001-6411-1840)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2026-02-13
- DOI
- https://doi.org/10.4153/s0008439526101829
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- University of Sheffield
- Directorate for Mathematical and Physical Sciences
- Engineering and Physical Sciences Research Council
- Division of Mathematical Sciences