Kazhdan-Lusztig polynomial in English

[Show JSON for post-processed kaikki.org data shown on this page ▼] [Hide JSON for post-processed kaikki.org data shown on this page ▲]

{
  "etymology_text": "Introduced by David Kazhdan and George Lusztig in 1979.",
  "forms": [
    {
      "form": "Kazhdan-Lusztig polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kazhdan-Lusztig polynomial (plural Kazhdan-Lusztig polynomials)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A member P_(y,w)(q) of a certain family of integral polynomials that are indexed by pairs of elements y, w of a Coxeter group W, which can in particular be the Weyl group of a Lie group."
      ],
      "id": "en-Kazhdan-Lusztig_polynomial-en-noun-IidLWVv0",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "index",
          "index"
        ],
        [
          "pair",
          "pair"
        ],
        [
          "element",
          "element"
        ],
        [
          "Coxeter group",
          "Coxeter group"
        ],
        [
          "Weyl group",
          "Weyl group"
        ],
        [
          "Lie group",
          "Lie group"
        ]
      ],
      "qualifier": "representation theory",
      "raw_glosses": [
        "(mathematics, representation theory) A member P_(y,w)(q) of a certain family of integral polynomials that are indexed by pairs of elements y, w of a Coxeter group W, which can in particular be the Weyl group of a Lie group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kazhdan-Lusztig polynomial"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Introduced by David Kazhdan and George Lusztig in 1979.",
  "forms": [
    {
      "form": "Kazhdan-Lusztig polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kazhdan-Lusztig polynomial (plural Kazhdan-Lusztig polynomials)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "A member P_(y,w)(q) of a certain family of integral polynomials that are indexed by pairs of elements y, w of a Coxeter group W, which can in particular be the Weyl group of a Lie group."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "index",
          "index"
        ],
        [
          "pair",
          "pair"
        ],
        [
          "element",
          "element"
        ],
        [
          "Coxeter group",
          "Coxeter group"
        ],
        [
          "Weyl group",
          "Weyl group"
        ],
        [
          "Lie group",
          "Lie group"
        ]
      ],
      "qualifier": "representation theory",
      "raw_glosses": [
        "(mathematics, representation theory) A member P_(y,w)(q) of a certain family of integral polynomials that are indexed by pairs of elements y, w of a Coxeter group W, which can in particular be the Weyl group of a Lie group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kazhdan-Lusztig polynomial"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-18 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.

"Kazhdan-Lusztig polynomial" meaning in English

Noun

Inflected forms