On some Hochschild cohomology classes of fusion algebras
classification
q-alg
math.QA
keywords
fusionalgebraalgebrascohomologyhochschildobstructionssomealgebraically
read the original 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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