Work

Cohomology of dilute Temperley–Lieb algebras

Year: 2026

Type: article

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.

Source: Canadian Mathematical Bulletin

DOI: 10.4153/s0008439526101829

Authors: Andrew Fisher, Daniel Graves

Institutions: University of Sheffield, University of Leeds

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: University of Sheffield, Directorate for Mathematical and Physical Sciences, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences