Abelian crossed modules and strict Picard categories
Group Theory
2013-09-13 v1 Category Theory
Abstract
In this paper, we state the notion of morphisms in the category of abelian crossed modules and prove that this category is equivalent to the category of strict Picard categories and regular symmetric monoidal functors. The theory of obstructions for symmetric monoidal functors and symmetric cohomology groups are applied to show a treatment of the group extension problem of the type of an abelian crossed module.
Cite
@article{arxiv.1309.3109,
title = {Abelian crossed modules and strict Picard categories},
author = {Nguyen Tien Quang and Che Thi Kim Phung and Ngo Sy Tung},
journal= {arXiv preprint arXiv:1309.3109},
year = {2013}
}
Comments
14 pages