160 citations · 584 across the 39 of their papers we have counts for
47 papers
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…
On the spherical partition algebra
Katherine Ormeño Bastías, Paul Martin, Steen Ryom-Hansen
For we introduce an idempotent subalgebra, the spherical partition algebra , of the partition algebra , that we define…
Classification of charge-conserving loop braid representations
Paul Martin, Eric C. Rowell, Fiona Torzewska
Here a loop braid representation is a monoidal functor from the loop braid category to a suitable target category, and is -charge-conserving if that ta…
Classification of spin-chain braid representations
Paul Martin, Eric C. Rowell
A braid representation is a monoidal functor from the braid category , for example given by a solution to the constant Yang-Baxter equation. Given a monoidal category $…
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…
Motion groupoids and mapping class groupoids
Fiona Torzewska, João Faria Martins, Paul Purdon Martin
Here denotes a pair of a manifold and a subset (e.g. or ). We construct for each its motion groupoid $\mathrm{Mo…