160 citations · 584 across the 39 of their papers we have counts for
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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 $…
Representations of the Necklace Braid Group: Topological and Combinatorial Approaches
Alex Bullivant, Andrew Kimball, Paul Martin +1
The necklace braid group is the motion group of the component necklace link in Euclidean . Here consists of …
From tensor category to Temperley-Lieb algebra representation
Peter E. Finch, Zoltan Kadar, Paul Martin
We construct a representation of the Temperley-Lieb algebra from a multiplicity-free semisimple monoidal Abelian category , with two simple objects and such that…
Local representations of the loop braid group
Zoltan Kadar, Paul Martin, Eric Rowell +1
We study representations of the loop braid group from the perspective of extending representations of the braid group . We also pursue a generalization of the braid/Hec…