The factor set of Gr-categories of the type $(Π,A)$

Details The factor set of Gr-categories of the type $(Π,A)$ The factor set of Gr-categories of the type $(Π,A)$

2009-11-09

arxiv.org/abs/0911.1689v1

Mathematics

Category Theory

12 pages

Scientific paper

Any $\Gamma$-graded categorical group is determined by a factor set of a categorical group. This paper studies the factor set of the group $\Gamma$ with coefficients in the categorical group of the type $(\Pi,A).$ Then, an interpretation of the notion of $\Gamma-$operator $3-$cocycle is presented and the proof of cohomological classification theorem for the a $\Gamma-$graded Gr-category is also presented.

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