paper

Cohomology of dilute Temperley--Lieb algebras

arXiv:2603.18704

Abstract

Dilute Temperley--Lieb algebras are variants of Temperley--Lieb algebras arising in statistical mechanics in the study of solvable lattice models. In this paper we prove that the (co)homology of dilute Temperley--Lieb algebras vanishes in all positive degrees.

12 pages. Accepted for publication in Canadian Mathematical Bulletin