%0 Journal Article
%T Monoidal categories and multiextensions
%A Lawrence Breen
%J Mathematics
%D 1998
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/9809104v1