Kazhdan-Lusztig \(R\)-polynomials, combinatorial invariance, and hypercube decompositions

DOI10.1007/s00209-024-03632-3MaRDI QIDQ6660838

Francesco Brenti, Mario Marietti

Publication date: 10 January 2025

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

symmetric groupKazhdan-Lusztig polynomialsshortcutcombinatorial invariance conjecturehypercube decomposition

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• The complete \(\mathbf{cd}\)-index of dihedral and universal Coxeter groups
• More on the combinatorial invariance of Kazhdan-Lusztig polynomials
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• A combinatorial formula for Kazhdan-Lusztig polynomials
• Combinatorial properties of the Kazhdan-Lusztig \(R\)-polynomials for \(S_ n\)
• Singular loci of Schubert varieties
• Quasisymmetric functions and Kazhdan-Lusztig polynomials.
• Bruhat intervals and parabolic cosets in arbitrary Coxeter groups
• Algebraic and combinatorial properties of zircons
• Special matchings and Kazhdan-Lusztig polynomials
• Combinatorics of Coxeter Groups
• Diamonds and Hecke algebra representations
• Advancing mathematics by guiding human intuition with AI
• Towards combinatorial invariance for Kazhdan-Lusztig polynomials
• Combinatorial Invariance Conjecture for $\widetilde {A}_2$
• Parabolic recursions for Kazhdan-Lusztig polynomials and the hypercube decomposition

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