Kazhdan-Lusztig and \(R\)-polynomials from a combinatorial point of view.

DOI10.1016/S0012-365X(98)00137-XzbMath1061.05511OpenAlexW2052472160MaRDI QIDQ1584466

Francesco Brenti

Publication date: 2 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00137-x

zbMATH Keywords

Hecke algebrasrepresentation theory

Mathematics Subject Classification ID

Related Items (20)

Bruhat intervals of length 4 in Weyl groups. ⋮ The intersection cohomology of Schubert varieties is a combinatorial invariant ⋮ Closed product formulas for certain \(R\)-polynomials ⋮ Kazhdan-Lusztig \(R\)-polynomials of permutations containing a 231 or 312 pattern ⋮ Path representation of maximal parabolic Kazhdan-Lusztig polynomials. ⋮ Diagrammatics for Kazhdan-Lusztig \(\tilde{R}\)-polynomials ⋮ Explicit formulae for the Brenti's polynomials \(\gamma_{a_1,. . .,a_r}\) ⋮ IntroSurvey of representation theory ⋮ Mask formulas for cograssmannian Kazhdan-Lusztig polynomials. ⋮ On 1234-nesting Kazhdan–Lusztig R-polynomials for the symmetric group ⋮ Lattice paths and Kazhdan-Lusztig polynomials ⋮ Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations ⋮ Explicit formulae for some Kazhdan-Lusztig \(R\)-polynomials. ⋮ Formulas for multi-parameter classes of Kazhdan-Lusztig polynomials in \({\mathfrak S}(n)\) ⋮ Maximal singular loci of Schubert varieties in $SL(n)/B$ ⋮ Combinatorial proof of the inversion formula on the Kazhdan-Lusztig \(R\)-polynomials ⋮ A Simple Product Formula for Certain Kazhdan-LusztigR-Polynomials ⋮ Explicit formulae for some Kazhdan-Lusztig polynomials ⋮ Poincaré Polynomials of Odd Diagram Classes ⋮ \(P\)-kernels, IC bases and Kazhdan-Lusztig polynomials

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• Algebraic groups and modular Lie algebras

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