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

Nguyen Tien Quang; Che Thi Kim Phung; Pham Thi Cuc

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

Category Theory 2013-04-23 v1

Authors: Nguyen Tien Quang , Che Thi Kim Phung , Pham Thi Cuc

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.

Keywords

braided crossed modules equivariant cohomology Gamma-modules categorical groups Schreier theory

Cite

@article{arxiv.1304.5909,
  title  = {Braided equivariant crossed modules and cohomology of $\Gamma $-modules},
  author = {Nguyen Tien Quang and Che Thi Kim Phung and Pham Thi Cuc},
  journal= {arXiv preprint arXiv:1304.5909},
  year   = {2013}
}

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22 pages

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

Abstract

Keywords

Cite

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