Representation cohomology is the cohomology of the cochain complex obtained from Grothendieck groups of kC_n-modules for the simplicial category whose level-n objects are the simplices of the nerve of a small category C.
A DrozdTame and wild matrix problems, Representations and quadratic forms (Institute of Mathe- matics, Academy of Sciences, Ukrainian SSR, Kiev, 1979); Amer
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Representation Cohomology of a Small Category
Representation cohomology is the cohomology of the cochain complex obtained from Grothendieck groups of kC_n-modules for the simplicial category whose level-n objects are the simplices of the nerve of a small category C.