"Lie algebra" meaning in English

{
  "etymology_text": "Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.",
  "forms": [
    {
      "form": "Lie algebras",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "Lie algebra (plural Lie algebras)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
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        }
      ],
      "derived": [
        {
          "word": "Lie bialgebra"
        },
        {
          "word": "Lie coalgebra"
        },
        {
          "word": "Lie superalgebra"
        }
      ],
      "glosses": [
        "A linear algebra whose mathematical structure underlies a Lie group’s structure."
      ],
      "id": "en-Lie_algebra-en-noun-OSzwBNOL",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "Lie group",
          "Lie group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A linear algebra whose mathematical structure underlies a Lie group’s structure."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "vector space",
          "word": "Lien algebra"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "vector space",
          "word": "Lie-Algebra"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "rīdaisū",
          "sense": "vector space",
          "word": "リー代数"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "álgebra Li",
          "sense": "vector space",
          "tags": [
            "feminine"
          ],
          "word": "а́лгебра Ли"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "vector space",
          "tags": [
            "Roman",
            "feminine"
          ],
          "word": "Liejeva algebra"
        }
      ],
      "wikipedia": [
        "Hermann Weyl",
        "Lie algebra",
        "Sophus Lie"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/liː.ældʒɨbɹə/"
    }
  ],
  "word": "Lie algebra"
}

{
  "derived": [
    {
      "word": "Lie bialgebra"
    },
    {
      "word": "Lie coalgebra"
    },
    {
      "word": "Lie superalgebra"
    }
  ],
  "etymology_text": "Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.",
  "forms": [
    {
      "form": "Lie algebras",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "Lie algebra (plural Lie algebras)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A linear algebra whose mathematical structure underlies a Lie group’s structure."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "Lie group",
          "Lie group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A linear algebra whose mathematical structure underlies a Lie group’s structure."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Hermann Weyl",
        "Lie algebra",
        "Sophus Lie"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/liː.ældʒɨbɹə/"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "vector space",
      "word": "Lien algebra"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "vector space",
      "word": "Lie-Algebra"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "rīdaisū",
      "sense": "vector space",
      "word": "リー代数"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "álgebra Li",
      "sense": "vector space",
      "tags": [
        "feminine"
      ],
      "word": "а́лгебра Ли"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "vector space",
      "tags": [
        "Roman",
        "feminine"
      ],
      "word": "Liejeva algebra"
    }
  ],
  "word": "Lie algebra"
}