"pseudorepresentation" meaning in English

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  "etymology_text": "pseudo- + representation",
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          "ref": "2015, Jyoti Prakash Saha, “Variation of Weyl modules in p-adic families”, in arXiv",
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        "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^′)."
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        "(mathematics) 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^′)."
      ],
      "topics": [
        "mathematics",
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  "word": "pseudorepresentation"
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        "(mathematics) 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^′)."
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