Frobenius-Schur indicators in Tambara-Yamagami categories

Kenichi Shimizu

doi:10.1016/j.jalgebra.2011.02.002

Frobenius-Schur indicators in Tambara-Yamagami categories

Kenichi Shimizu

Department of Mathematical Sciences

Research output: Contribution to journal › Article

9 Citations (Scopus)

Abstract

We introduce formulae of Frobenius-Schur indicators of simple objects of Tambara-Yamagami categories. By using techniques of the Fourier transform on finite abelian groups, we study some arithmetic properties of indicators. We also give some applications to Hopf algebras.

Original language	English
Pages (from-to)	543-564
Number of pages	22
Journal	Journal of Algebra
Volume	332
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.02.002
Publication status	Published - 2011 Apr 15

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Keywords

Frobenius-Schur indicator
Fusion category
Hopf algebra
Tambara-Yamagami category

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

Shimizu, K. (2011). Frobenius-Schur indicators in Tambara-Yamagami categories. Journal of Algebra, 332(1), 543-564. https://doi.org/10.1016/j.jalgebra.2011.02.002

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Access to Document

10.1016/j.jalgebra.2011.02.002