✦ LIBER ✦

Tensor Categories with Fusion Rules of Self-Duality for Finite Abelian Groups

✍ Scribed by Daisuke Tambara; Shigeru Yamagami

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 178 KB
Volume: 209
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7558

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✦ Synopsis

Semisimple tensor categories with fusion rules of self-duality for finite abelian groups are classified. As an application, we prove that the Tannaka duals of the dihedral and the quaternion groups of order 8 and the eight-dimensional Hopf algebra of Kac and Paljutkin are not isomorphic as abstract tensor categories whereas they have the same fusion rule.