Article ID Journal Published Year Pages File Type
5772867 Journal of Pure and Applied Algebra 2017 34 Pages PDF
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.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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