42 citations · 86 across the 6 of their papers we have counts for
6 papers
Generating functions for ranks of pre-modular categories
Eric C. Rowell
We derive generating functions for the ranks of pre-modular categories associated to quantum groups at roots of unity.
The N-eigenvalue Problem and Two Applications
Michael Larsen, Eric C. Rowell, Zhenghan Wang
We consider the classification problem for compact Lie groups which are generated by a single conjugacy class with a fixed number of distinct eigenvalues. We gi…
Extraspecial 2-groups and images of braid group representations
Jennifer Franko, Eric C. Rowell, Zhenghan Wang
We investigate a family of (reducible) representations of Artin's braid groups corresponding to a specific solution to the Yang-Baxter equation. The images of the braid groups unde…
From Quantum Groups to Unitary Modular Tensor Categories
Eric C. Rowell
Modular tensor categories are generalizations of the representation categories of quantum groups at roots of unity axiomatizing the properties necessary to produce 3-dimensional TQ…
A note on tensor categories of Lie type
Eric C. Rowell
We consider the problem of decomposing tensor powers of the fundamental level 1 highest weight representation of the affine Kac-Moody algebra $\g(E_9)$. We describe an elementa…
On a Family of Non-Unitarizable Ribbon Categories
Eric C. Rowell
We consider two families of categories. The first is the family of semisimple quotients of H. Andersen's tilting module categories for quantum groups of Lie type specialized at…