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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 1 | Source: arXiv Dataset IDs (Model)

On some Hochschild cohomology classes of fusion algebras

Authors	A. A. Davydov
Categories	q-alg math.QA
ArXiv ID	q-alg/9711025
URL	https://arxiv.org/abs/q-alg/9711025

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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    "abstract": "The obstructions for an arbitrary fusion algebra to be a fusion algebra of\nsome semisimple monoidal category are constructed. Those obstructions lie in\ngroups which are closely related to the Hochschild cohomology of fusion\nalgebras with coefficients in the K-theory of the ground (algebraically closed)\nfield.",
    "arxiv_id": "q-alg/9711025",
    "authors": [
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    "title": "On some Hochschild cohomology classes of fusion algebras",
    "url": "https://arxiv.org/abs/q-alg/9711025"
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