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Kazhdan–Lusztig polynomial

Known as: Kazhdan-Lusztig polynomials, Kazhdan-Lusztig theory, Kazhdan-Lusztig-Vogan polynomial 
In the mathematical field of representation theory, a Kazhdan–Lusztig polynomial Py,w(q) is a member of a family of integral polynomials introduced… Expand
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Related topics

2 relations
Constant termPolynomial basis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2006
2006
Special matchings and Kazhdan-Lusztig polynomials
Abstract In 1979 Kazhdan and Lusztig defined, for every Coxeter group W , a family of polynomials, indexed by pairs of elements… Expand
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Highly Cited
2005
Highly Cited
2005
On the multilinear restriction and Kakeya conjectures
We prove d-linear analogues of the classical restriction and Kakeya conjectures in Rd. Our approach involves obtaining… Expand
Highly Cited
2004
Highly Cited
2004
Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln "uber Polynomringen
We explain a strategy for a proof of the positivity of all coefficients of Kazhdan-Lusztig-polynomials for arbitrary Coxeter… Expand
Highly Cited
1999
Highly Cited
1999
Canonical Bases of Higher-Level q-Deformed Fock Spaces and Kazhdan-Lusztig Polynomials
The aim of this paper is to generalize some aspects of the recent work of Leclerc-Thibon and Varagnolo-Vasserot on the canonical… Expand
1998
1998
LATTICE PATHS AND KAZHDAN-LUSZTIG POLYNOMIALS
In their fundamental paper [18] Kazhdan and Lusztig defined, for every Coxeter group W , a family of polynomials, indexed by… Expand
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Highly Cited
1998
Highly Cited
1998
Littlewood-Richardson coe cients and Kazhdan-Lusztig polynomials
We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic Kazhdan-Lusztig polynomials for affine… Expand
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Highly Cited
1997
Highly Cited
1997
Kazhdan-Lusztig polynomials and canonical basis
AbstractIn this paper we show that the Kazhdan-Lusztig polynomials (and, more generally, parabolic KL polynomials) for the… Expand
1993
1993
Sandwich matrices, Solomon algebras, and Kazhdan-Lusztig polynomials
Sandwich matrices have proved to be of importance in semigroup theory for the last 50 years. The work of the author on algebraic… Expand
Highly Cited
1992
Highly Cited
1992
Monstrous moonshine and monstrous Lie superalgebras
We prove Conway and Norton's moonshine conjectures for the infinite dimensional representation of the monster simple group… Expand
1986
1986
An inversion formula for the Kazhdan-Lusztig polynomials for affine weyl groups
Let W be a Coxeter group. In [10] Kazhdan and Lusztig defined for each y, w e W certain polynomials Py,w over 7/. They… Expand
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