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Representations of tensor categories with fusion rules of self-duality for abelian groups

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Abstract

The tensor categories with fusion rules of self-duality for abelian groups are modeled on the representations of extraspecial 2-groups. We classify the embeddings of those categories into the category of vector spaces, by which the categories are realized as the representations of Hopf algebras.

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Correspondence to D. Tambara.

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Tambara, D. Representations of tensor categories with fusion rules of self-duality for abelian groups. Isr. J. Math. 118, 29–60 (2000). https://doi.org/10.1007/BF02803515

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  • DOI: https://doi.org/10.1007/BF02803515

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