pseudorepresentation

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|maths}} Given a [[group]] <math>G</math> and a [[commutative]] [[ring]] <math>R</math>, a [[tuple]] of [[map]]s <math>(a, d, x)</math>, where <math>a, d: G \rightarrow R</math> and <math>x: G x G \rightarrow R</math>, are a pseudorepresentation if they satisfy the relations one would expect if <math>a(g)</math> and <math>d(g)</math> were the diagonal entries of a two dimensional representation <math>\begin{matrix}|a(g) b(g)|\\|c(g) d(g)|\end{matrix}</math> and if <math>x</math> was given by <math>x(g, g^\prime) = b(g)c(g^\prime)</math>.

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