Categorification and Group Extensions |
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Authors: | Lucian M Ionescu |
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Institution: | (1) Mathematics Department, Kansas State University, Manhattan, Kansas, 66502, U.S.A. |
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Abstract: | We review several known categorification procedures, and introduce a functorial categorification of group extensions (Section 4.1) with applications to non-Abelian group cohomology (Section 4.2). The obstruction to the existence of group extensions (Section 4.2.4, Equation (9)) is interpreted as a coboundary condition (Proposition 4.5). |
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Keywords: | categorification monoidal categories group cohomology |
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