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arXiv · 0911.1689

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

Nguyen Tien Quang
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Abstract

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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Nguyen Tien Quang. 2009-11-09. The factor set of Gr-categories of the type $(\Pi,A)$. https://arxiv.org/abs/0911.1689

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