... Let G be a group, U a linear representation of G in E, g, g'6 G. We define 1-cocycles as maps R: G> E such that Rgg «= Rg+ UgRg, and denote their space by Z1 (G, E). 1-coboundaries are 1-cocycles for which there exists a (0-cochain) if 6 E such that Rg= Ugif-if and we ...
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