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Semidirect products of categorical groups. Obstruction theory. (English) Zbl 0984.18005

A categorical group is a monoidal category in which each morphism has an inverse under composition and each object has a quasi-inverse under tensor product. The split extensions of one categorical group acting on another are classified in this paper. An obstruction theory is developed generalizing that of group cohomology.

MSC:

18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
18G50 Nonabelian homological algebra (category-theoretic aspects)
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