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math.RT2025
On semisimplicity criteria and non-semisimple representation theory for the Kadar-Yu algebras
Benjamin Morris, Paul P. Martin
The Kadar--Yu algebras are a physically motivated sequence of towers of algebras interpolating between the Brauer algebras and Temperley--Lieb algebras. The complex representation…
math.RT2024
On the spherical partition algebra
Katherine Ormeño BastÃas, Paul Martin, Steen Ryom-Hansen
For we introduce an idempotent subalgebra, the spherical partition algebra , of the partition algebra , that we define…