5 papers
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 (…
Cohomology of rook-Brauer algebras and their subalgebras
Andrew Fisher, Daniel Graves
This paper studies the (co)homology of rook-Brauer algebras and their subalgebras. Our main results focus on the cohomology of rook-Brauer algebras (which is related to the cohomol…
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…
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…
Generalized rook-Brauer algebras and their homology
Daniel Graves
Rook-Brauer algebras are a family of diagram algebras. They contain many interesting subalgebras: rook algebras, Brauer algebras, Motzkin algebras, Temperley-Lieb algebras and symm…