Frobenius-Schur indicators in Tambara-Yamagami categories

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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 languageEnglish
Pages (from-to)543-564
Number of pages22
JournalJournal of Algebra
Volume332
Issue number1
DOIs
Publication statusPublished - 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

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