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 |
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Pages (from-to) | 543-564 |
Number of pages | 22 |
Journal | Journal of Algebra |
Volume | 332 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 Apr 15 |
Externally published | Yes |
Keywords
- Frobenius-Schur indicator
- Fusion category
- Hopf algebra
- Tambara-Yamagami category
ASJC Scopus subject areas
- Algebra and Number Theory