pseudorepresentation
Given a group G and a commutative ring R, a tuple of maps, where a,d:G→R and x:GxG→R,…Given a group G and a commutative ring R, a tuple of maps (a,d,x), where a,d:G→R and x:GxG→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 |a(g)b(g)|\|c(g)d(g)| and if x was given by x(g,g^′)=b(g)c(g^′).
Meaning
1 sensesGiven a group G and a commutative ring R, a tuple of maps (a,d,x), where a,d:G→R and x:GxG→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 |a(g)b(g)|\|c(g)d(g)| and if x was given by x(g,g^′)=b(g)c(g^′).
Origin
From pseudo- + representation.From pseudo- + representation.
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Forms
plural: pseudorepresentations| Singular | pseudorepresentation |
|---|---|
| Plural | pseudorepresentations |
regular