3 papers
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…
math-ph2024
Exactly solvable models for 2+1D topological phases derived from crossed modules of semisimple Hopf algebras
Vincent Koppen, João Faria Martins, Paul Purdon Martin
We define an exactly solvable model for 2+1D topological phases of matter on a triangulated surface derived from a crossed module of semisimple finite-dimensional Hopf algebras, th…