3 papers
math.AT2026
Cohomology of dilute Temperley--Lieb algebras
Andrew Fisher, Daniel Graves
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 (…
math.AT2024
Cohomology of coloured partition algebras
James Cranch, Daniel Graves
Coloured partition algebras were introduced by Bloss and exhibit a Schur-Weyl duality with certain complex reflection groups. In this paper we show that these algebras exhibit homo…
math.AT2024
Cohomology of Tanabe algebras
Andrew Fisher, Daniel Graves
In this paper we study the (co)homology of Tanabe algebras, which are a family of subalgebras of the partition algebras exhibiting a Schur-Weyl duality with certain complex reflect…