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On some Hochschild cohomology classes of fusion algebras

A. A. Davydov
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Abstract

The obstructions for an arbitrary fusion algebra to be a fusion algebra of some semisimple monoidal category are constructed. Those obstructions lie in groups which are closely related to the Hochschild cohomology of fusion algebras with coefficients in the K-theory of the ground (algebraically closed) field.

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BibTeXRIS

A. A. Davydov. 1997-12-16. On some Hochschild cohomology classes of fusion algebras. https://arxiv.org/abs/q-alg/9711025

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