On parabolic Kazhdan-Lusztig \(R\)-polynomials for the symmetric group.

DOI10.1016/j.jpaa.2016.06.007zbMath1347.20012arXiv1501.04275OpenAlexW2962691465WikidataQ112882048 ScholiaQ112882048MaRDI QIDQ308163

Peter L. Guo, Grace L. D. Zhang, Neil J. Y. Fan

Publication date: 5 September 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04275

zbMATH Keywords

symmetric groupsKazhdan-Lusztig polynomials

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• Unnamed Item
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• Duality in parabolic set up for questions in Kazhdan-Lusztig theory
• Tight quotients and double quotients in the Bruhat order.
• Kazhdan-Lusztig and \(R\)-polynomials, Young's lattice, and Dyck partitions.
• Parabolic Kazhdan-Lusztig \(R\)-polynomials for tight quotients of the symmetric groups.
• Combinatorics of Coxeter Groups

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