Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772867 | Journal of Pure and Applied Algebra | 2017 | 34 Pages |
Abstract
As an application, we show that the algebra Grk(C) is semisimple if C is a non-degenerate pivotal fusion category. If, moreover, Grk(C) is commutative, then we define the character table of C based on the integral theory. It turns out that the character table is obtained from the S-matrix if C is a modular tensor category. Generalizing corresponding results in the finite group theory, we prove the orthogonality relations and the integrality of the character table.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kenichi Shimizu,