Parabolic recursions for Kazhdan-Lusztig polynomials and the hypercube decomposition

DOI10.1007/S00029-024-00972-0MaRDI QIDQ6610076

Chuijia Wang, Maxim Gurevich

Publication date: 24 September 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

Kazhdan-Lusztig polynomialscombinatorial invariance conjecturehypercube decomposition

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Representations of Khovanov-Lauda-Rouquier algebras and combinatorics of Lyndon words.
• On positivity in Hecke algebras
• Graded decomposition numbers for cyclotomic Hecke algebras.
• Representations of Coxeter groups and Hecke algebras
• Kazhdan-Lusztig polynomials: history, problems, and combinatorial invariance.
• Combinatorics of Coxeter Groups
• Canonical Bases Arising from Quantized Enveloping Algebras
• Advancing mathematics by guiding human intuition with AI
• Towards combinatorial invariance for Kazhdan-Lusztig polynomials

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

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