\(J\)-chains and multichains, duality of Hecke modules, and formulas for parabolic Kazhdan-Lusztig polynomials

DOI10.1006/jabr.1996.6874zbMath0889.20021OpenAlexW1965435844MaRDI QIDQ1355569

Vinay V. Deodhar

Publication date: 23 June 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6874

zbMATH Keywords

parabolic Kazhdan-Lusztig polynomialsclosed formulasHecke modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items

Parabolic Kazhdan-Lusztig and \(R\)-polynomials for Boolean elements in the symmetric group., Inducing \(W\)-graphs. II., Some properties of inverse weighted parabolic Kazhdan-Lusztig polynomials, An inversion formula for induced Kazhdan-Lusztig polynomials and duality of \(W\)-graphs., IrreducibleW-Graphs for TypeD₄andD₅, A construction of weighted parabolic Kazhdan-Lusztig polynomials.

Cites Work

• Unnamed Item
• A combinatorial setting for questions in Kazhdan-Lusztig theory
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Duality in parabolic set up for questions in Kazhdan-Lusztig theory
• Parabolic generalization of Kazhdan-Lusztig polynomials and bases
• A combinatorial formula for Kazhdan-Lusztig polynomials