a Kazhdan–Lusztig polynomial P y , w ( q ) {\displaystyle P_{y,w}(q)} is a member of a family of integral polynomials introduced by David Kazhdan and...

Gelfand, Victor Kac, George Lusztig (on the Kazhdan–Lusztig conjecture on Verma modules), with Grigory Margulis (Kazhdan–Margulis theorem), with Yuval...

Deligne–Lusztig varieties, and the Kazhdan–Lusztig polynomials. In 1983, Lusztig was elected as a fellow of the Royal Society. In 1985 Lusztig won the...

Gedeon, Katie; Proudfoot, Nicholas; Young, Benjamin (2017). "Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures" (PDF). Séminaire...

cohomology are related to those defined using ordinary cohomology by Kazhdan–Lusztig polynomials. The F-invariant irreducible character sheaves are closely related...

and its polynomial ring K[x]: the quotient by x = 0 restores K. In Hecke algebra, an involution is important to the Kazhdan–Lusztig polynomial. The endomorphism...

David Kazhdan, George Lusztig: Kazhdan–Lusztig polynomial Lord Kelvin: Kelvin function Kibble–Slepian formula Kirchhoff: Kirchhoff polynomial Tom H....

w}(v^{2})T_{w}} with P y , w {\displaystyle P_{y,w}} being the Kazhdan–Lusztig polynomials. If we are given an n × n matrix A {\displaystyle A} and wish...

Iwahori–Hecke algebra, a quantum deformation of the group algebra Kazhdan–Lusztig polynomial Longest element of a Coxeter group Parabolic subgroup of a reflection...

polynomials, the Lusztig–Vogan polynomials, an analogue of Kazhdan–Lusztig polynomials introduced for reductive groups in general by George Lusztig and...

Möbius function is produced by the rank function on the poset. Kazhdan–Lusztig polynomial Björner, Anders (1984), "Orderings of Coxeter groups", in Greene...

of the Kazhdan–Lusztig polynomials for Coxeter groups. For Weyl groups (special Coxeter groups, which are connected to Lie groups), David Kazhdan and George...

applications of holonomic D-modules was the Bernstein–Sato polynomial. The Kazhdan–Lusztig conjecture was proved using D-modules. The Riemann–Hilbert...

Soergel (proving Lusztig's conjecture in that case). Their character formula for p large is based on the Kazhdan–Lusztig polynomials, which are combinatorially...

a similar way. The polynomials Py,w(q) making appearance in this theorem are the Kazhdan–Lusztig polynomials. The Kazhdan–Lusztig notions of left, right...

algebraic groups over the integers. Kazhdan–Lusztig conjectures relating the values of the Kazhdan–Lusztig polynomials at 1 with representations of complex...

(3): 156–160. doi:10.1007/BF02759702. Gedeon, Katie R. (2017). "Kazhdan-Lusztig polynomials of thagomizer matroids". Electronic Journal of Combinatorics...

Borho, Brylinski, and MacPherson. Springer 1976. Lusztig 1981. Springer 1978. Kazhdan & Lusztig 1980. Lusztig & Spaltenstein 1980. sfn error: no target:...

measure of singularity of Schubert varieties is provided by Kazhdan–Lusztig polynomials, which encode their local Goresky–MacPherson intersection cohomology...

contributions on Schubert polynomials, singular loci of Schubert varieties, Kostant polynomials, and Kazhdan–Lusztig polynomials often using computer verified...

Khovanov's PhD dissertation, "Graphical calculus, canonical bases and Kazhdan-Lusztig theory" (1997). Mikhail Khovanov at the Mathematics Genealogy Project...

cohomology, and a new proof of Brenti's combinatorial formula for Kazhdan-Lusztig polynomials. Lauren Williams (2016), for her research in algebraic combinatorics...

applications include the study of Schubert polynomials, Macdonald polynomials, Hecke algebras, and Kazhdan–Lusztig polynomials. Often quasisymmetric functions provide...

algorithm) David Kazhdan, Soviet, American and Israeli mathematician, Representation theory, Category theory, Kazhdan-Lusztig conjecture, Kazhdan-Margulis theorem...

the next few years. Intersection cohomology was used to prove the Kazhdan–Lusztig conjectures and the Riemann–Hilbert correspondence. It is closely related...

symbols KLV-TV (Karl-Lorimar Video), a home video brand KLV polynomial (Kazhdan–Lusztig–Vogan) Search for "klv" on Wikipedia. K. L. V. Vasantha (1923–2008)...

doi:10.1007/bf02684396. MR 0185016. S2CID 4591855. Zbl 0228.20015. Kazhdan, David; Lusztig, George (1987). "Proof of the Deligne-Langlands conjecture for...

Grothendieck's theory of schemes. Bernstein introduced a similar approach in the polynomial coefficients case. Kashiwara's master thesis states the foundations of...

in work of Lusztig (1983), and was expanded upon by Shi (1986); both authors used the combinatorial description to study the Kazhdan–Lusztig cells of S...

graphs by Avi Wigderson. Development of Bernstein–Sato polynomial and proof of the Kazhdan–Lusztig conjectures by Joseph Bernstein Generalization of the...