Duality in parabolic set up for questions in Kazhdan-Lusztig theory

DOI10.1016/0021-8693(91)90225-WzbMath0751.20035OpenAlexW2025281913MaRDI QIDQ1178866

Vinay V. Deodhar

Publication date: 26 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90225-w

zbMATH Keywords

dualityCoxeter groupKazhdan-Lusztig polynomialsHecke algebra

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Unnamed Item, On parabolic Kazhdan-Lusztig \(R\)-polynomials for the symmetric group., \(J\)-chains and multichains, duality of Hecke modules, and formulas for parabolic Kazhdan-Lusztig polynomials, Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras, Parabolic Kazhdan-Lusztig \(R\)-polynomials for tight quotients of the symmetric groups., Pircon kernels and up-down symmetry, Twisted incidence algebras and Kazhdan-Lusztig-Stanley functions, Computing individual Kazhdan-Lusztig basis elements., Monoid Hecke algebras, Parabolic Kazhdan-Lusztig \(R\)-polynomials for Hermitian symmetric pairs., A twisted duality for parabolic Kazhdan-Lusztig \(R\)-polynomials, Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln, On the dual canonical and Kazhdan-Lusztig bases and 3412-, 4231-avoiding permutations, Isomorphisms of Hecke modules and parabolic Kazhdan-Lusztig polynomials., Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients, Bar operators for quasiparabolic conjugacy classes in a Coxeter group., \(W\)-graph ideals and duality, Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs, Parabolic generalization of Kazhdan-Lusztig polynomials and bases, The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials, On the center of affine Hecke algebras of type \(A\)., Complements of Coxeter group quotients., Balanced semisimple filtrations for tilting modules

Cites Work

• Unnamed Item
• A combinatorial setting for questions in Kazhdan-Lusztig theory
• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• The Kazhdan-Lusztig conjecture for generalized Verma modules
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• An inversion formula for relative kazhdan—lusztig polynomials