The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc: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.
No keywords uploaded!
[ Download ] [ 2022-07-07 16:17:26 uploaded by Liuzhengwei ] [ 177 downloads ] [ 0 comments ]
@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.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved