Word.ws English Dictionary

pseudorepresentation

pseudorepresentation noun: 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^′).

Noun

pseudorepresentation (plural pseudorepresentations)

  1. 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^′).
    • More generally, we prove that the structures of the Frobenius-semisimplifications of the Weyl modules attached to a collection of pure representations are rigid if these pure representations lift to Weil-Deligne representations over domains containing #92;mathcal#123;O#125; and the traces of these...2015, Jyoti Prakash Saha, “Variation of Weyl modules in p-adic families”, in arXiv

Forms of pseudorepresentation

pluralpseudorepresentations

Origin of pseudorepresentation

From pseudo- + representation.

Questions about pseudorepresentation

What does pseudorepresentation mean?
Pseudorepresentation means 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^′).
What part of speech is pseudorepresentation?
Pseudorepresentation is a noun.
What is the plural of pseudorepresentation?
The plural of pseudorepresentation is pseudorepresentations.

Words near pseudorepresentation in the dictionary

  1. pseudoreplicated
  2. pseudoreplicates
  3. pseudoreplicating
  4. pseudoreplication
  5. pseudoreplications
  6. pseudorepresentation
  7. pseudorepresentations
  8. pseudoresidual
  9. pseudoresiduals
  10. pseudoresonant
  11. pseudoresponse

Source and license

Adapted from Wiktionary: pseudorepresentation (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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