"pseudorepresentation" meaning in English

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      "expansion": "pseudo- + representation",
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  "etymology_text": "From pseudo- + representation.",
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    {
      "form": "pseudorepresentations",
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        "plural"
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  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "2015, Jyoti Prakash Saha, “Variation of Weyl modules in p-adic families”, in arXiv:",
          "text": "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 #x5C;mathcal#x7B;O#x7D; and the traces of these lifts are parametrized by a pseudorepresentation over #x5C;mathcal#x7B;O#x7D;..",
          "type": "quote"
        }
      ],
      "glosses": [
        "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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      "raw_glosses": [
        "(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",
        "sciences"
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    }
  ],
  "word": "pseudorepresentation"
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  ],
  "etymology_text": "From pseudo- + representation.",
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  "lang_code": "en",
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          "ref": "2015, Jyoti Prakash Saha, “Variation of Weyl modules in p-adic families”, in arXiv:",
          "text": "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 #x5C;mathcal#x7B;O#x7D; and the traces of these lifts are parametrized by a pseudorepresentation over #x5C;mathcal#x7B;O#x7D;..",
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      ],
      "glosses": [
        "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^′)."
      ],
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