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Categorification and Group Extensions
Authors:Lucian M Ionescu
Institution:(1) Mathematics Department, Kansas State University, Manhattan, Kansas, 66502, U.S.A.
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 ldquocoboundaryrdquo condition (Proposition 4.5).
Keywords:categorification  monoidal categories  group cohomology
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