23 citations · 147 across the 17 of their papers we have counts for
5 papers · 1 filter
Temperley-Lieb and Birman-Murakami-Wenzl like relations from multiplicity free semi-simple tensor system
Peter E. Finch
In this article we consider conditions under which projection operators in multiplicity free semi-simple tensor categories satisfy Temperley-Lieb like relations. This is then used…
Classification of Metaplectic Fusion Categories
Eddy Ardonne, Peter E. Finch, Matthew Titsworth
In this paper, we study a family of fusion and modular systems realizing fusion categories Grothendieck equivalent to the representation category for . These categories…
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…
Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
P. E. Finch, K. A. Dancer, P. S. Isaac +1
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang-Baxter equation. Use of the 2-dimensional representations recovers the six-vertex mod…
Universal Baxterization for -graded Hopf algebras
K. A. Dancer, P. E. Finch, P. S. Isaac
We present a method for Baxterizing solutions of the constant Yang-Baxter equation associated with -graded Hopf algebras. To demonstrate the approach, we provide exampl…