Frobenius-Schur indicators in Tambara-Yamagami categories

2010/05/25 by Kenichi Shimizu, Shimizu, Kenichi
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1005.4500

21 pages

arxiv created 2010/05/25 · openalex publication_date 2010/05/25 · arxiv updated 2010/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• From subfactors to categories and topology II: The quantum double of tensor categories and subfactors

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