BIMSA > BIMSA-Tsinghua Quantum Symmetry Seminar Non-integer representation theory of the near group fusion ring
Non-integer representation theory of the near group fusion ring
Organizers
Lin Zhe Huang , Zheng Wei Liu , Sébastien Palcoux , Yi Long Wang , Jin Song Wu
Speaker
Libin Li
Time
Wednesday, April 20, 2022 10:00 AM - 12:00 PM
Venue
1129B
Online
Tencent 177 628 618 (0420)
Abstract
The non-integer matrix (NIM) solutions of matrix equations are closely related to the NIM representations over fusion rings and the module categories over tensor categories. In this talk we shall introduce a general theory of irreducible NIM representation over fusion ring. We give the minimum upper bound of rank of NIM representation and the general classification methods of irreducible NIM representations over the near group fusion rings. Moreover we give explicitly the construction of irreducible NIM represen-tations over some near group fusion rings.