Category TheoryMathematical PhysicsQuantum AlgebraRepresentation TheorySpectral Theory and Operator Algebramathscidoc:2207.04005
2020.7
The first author constructed a q-parameterized spherical category $\sC$ over C(q) in [Liu15], whose simple objects are labelled by all Young diagrams. In this paper, we compute closed-form expressions for the fusion rule of $\sC$, using Littlewood-Richardson coefficients, as well as the characters (including a generating function), using symmetric functions with infinite variables.
@inproceedings{zhengwei2020the,
title={The Grothendieck Ring of a Family of Spherical Categories},
author={Zhengwei Liu, and Christopher Ryba},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220707161726567111586},
year={2020},
}
Zhengwei Liu, and Christopher Ryba. The Grothendieck Ring of a Family of Spherical Categories. 2020. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220707161726567111586.