See Kazhdan-Lusztig polynomial on Wiktionary
{
"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": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"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"
}
{
"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 eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"Pages with 1 entry",
"Pages with entries",
"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"
}
Download raw JSONL data for Kazhdan-Lusztig polynomial meaning in All languages combined (1.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.