Monoidal categories and multiextensions

Lawrence Breen

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Monoidal categories and multiextensions

Lawrence Breen

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Abstract

We show that the obstruction to the existence of a strict symmetric monoidal structure on a monoidal stack $\cal C$ is determined by a commutator biextension associated to $\cal C$, and that this biextension is alternating under an additional hypothesis. The analogous construction for monoidal 2-stacks is described, together with the corresponding generalizations of the concept of a biextension.

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Lawrence Breen. 1998-09-18. Monoidal categories and multiextensions. https://arxiv.org/abs/math/9809104

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