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arXiv · 1304.5909

Braided equivariant crossed modules and cohomology of $\Gamma $-modules

Nguyen Tien Quang·Che Thi Kim Phung·Pham Thi Cuc
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Abstract

If $\Gamma $ is a group, then braided $\Gamma $-crossed modules are classified by braided strict $\Gamma $-graded categorial groups. The Schreier theory obtained for $\Gamma $-module extensions of the type of an abelian $\Gamma $-crossed module is a generalization of the theory of $\Gamma $-module extensions.

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Nguyen Tien Quang, Che Thi Kim Phung, Pham Thi Cuc. 2013-04-22. Braided equivariant crossed modules and cohomology of $\Gamma $-modules. https://arxiv.org/abs/1304.5909

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