Crossed product tensor categories

Details Crossed product tensor categories Crossed product tensor categories

2009-11-04

arxiv.org/abs/0911.0881v2

Mathematics

Quantum Algebra

Several missprint was corrected, subsection 2.4 was rewritten to improve exposition, some notations was changed

Scientific paper

A graded tensor category over a group $G$ will be called a crossed product tensor category if every homogeneous component has at least one multiplicatively invertible object. Our main result is a description of the crossed product tensor categories, graded monoidal functors, monoidal natural transformations, and braiding in terms of coherent outer $G$-actions over tensor categories.

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