Where does “pseudorepresentation” come from?

pseudorepresentation (English) comes from English representation, from English re-, from Middle English re-, from Old French re-, from Latin rĕ-, from Latin prōdūcō, from Latin prō-, from Proto-Italic *pro- — passed , crossed.

pseudorepresentation (English): Given a group G and a commutative ring R, a tuple of maps (a, d, x), where a, d: G \rightarrow R and x: G x G \rightarrow R, are a pseudorepresentation if they satisfy the relations one would expect if a(g) and d(g) were the diagonal entries of a two dimensional representation \begin{matrix}|a(g) b(