Kazhdan-Lusztig polynomial

noun

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.

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Meanings

nounKazhdan-Lusztig polynomial (plural Kazhdan-Lusztig polynomials)

plural Kazhdan-Lusztig polynomials

  1. representation theorymathematicsA 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.

Origin

Introduced by David Kazhdan and George Lusztig in 1979.

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Cite this entry
APA

Kazhdan-Lusztig polynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Kazhdan-Lusztig%20polynomial

MLA

“Kazhdan-Lusztig polynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Kazhdan-Lusztig%20polynomial. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Kazhdan-Lusztig polynomial,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Kazhdan-Lusztig%20polynomial.

Source: Kazhdan-Lusztig polynomial on Wiktionary, CC BY-SA 4.0.