"Koszul duality" meaning in English

{
  "etymology_text": "Named after the French mathematician Jean-Louis Koszul.",
  "forms": [
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      "form": "Koszul dualities",
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "Any of various kinds of duality found in representation theory of Lie algebras, abstract algebras, and topology."
      ],
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          "Lie algebra",
          "Lie algebra"
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          "abstract algebra",
          "abstract algebra"
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      "raw_glosses": [
        "(mathematics) Any of various kinds of duality found in representation theory of Lie algebras, abstract algebras, and topology."
      ],
      "tags": [
        "countable",
        "uncountable"
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      "topics": [
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  "word": "Koszul duality"
}

{
  "etymology_text": "Named after the French mathematician Jean-Louis Koszul.",
  "forms": [
    {
      "form": "Koszul dualities",
      "tags": [
        "plural"
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    }
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
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          "mathematics"
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          "representation theory",
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        [
          "abstract algebra",
          "abstract algebra"
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      "raw_glosses": [
        "(mathematics) Any of various kinds of duality found in representation theory of Lie algebras, abstract algebras, and topology."
      ],
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        "uncountable"
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