On some Hochschild cohomology classes of fusion algebras

Details On some Hochschild cohomology classes of fusion algebras On some Hochschild cohomology classes of fusion algebras

1997-11-26

arxiv.org/abs/q-alg/9711025v2

Mathematics

Quantum Algebra

latex

Scientific paper

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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