Joint relations on elements of the symmetric group.

DOI10.1016/j.jalgebra.2007.08.018zbMath1187.20003OpenAlexW2010580418MaRDI QIDQ932859

Jian-yi Shi

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.08.018

zbMATH Keywords

symmetric groupsCoxeter groupsYoung tableauxKazhdan-Lusztig polynomialstwo-sided cellsjoint relationsKazhdan-Lusztig \(\mu\)-function

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)

Related Items (2)

Equivalence Classes for the μ-Coefficient of Kazhdan–Lusztig Polynomials inS_n ⋮ Kazhdan-Lusztig polynomials, tight quotients and Dyck superpartitions.

Cites Work

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• Cells in affine Weyl groups. II
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Primitive ideals and orbital integrals in complex classical groups
• Representations of Coxeter groups and Hecke algebras
• Some partitions associated with a partially ordered set
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• The leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group \({\mathfrak S}_n\).
• The joint relations and the set \({\mathcal D}_ 1\) in certain crystallographic groups
• The partial order on two-sided cells of certain affine Weyl groups
• Combinatorics of Coxeter Groups
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Longest Increasing and Decreasing Subsequences
• Generalized Quotients in Coxeter Groups
• The based ring of two-sided cells of affine Weyl groups of type ̃𝐴_{𝑛-1}

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