Kazhdan-Lusztig polynomials, tight quotients and Dyck superpartitions.

DOI10.1016/j.aam.2011.02.002zbMath1251.20005OpenAlexW2037642492MaRDI QIDQ719340

Mario Marietti, Francesco Brenti, Federico Incitti

Publication date: 10 October 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2011.02.002

zbMATH Keywords

symmetric groupsfinite Coxeter groupsKazhdan-Lusztig polynomialssuperpartitionstight quotients

Mathematics Subject Classification ID

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

Related Items (1)

Isomorphisms of Hecke modules and parabolic Kazhdan-Lusztig polynomials.

Cites Work

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• Joint relations on elements of the symmetric group.
• Parabolic Kazhdan-Lusztig and \(R\)-polynomials for Boolean elements in the symmetric group.
• Leading coefficients of Kazhdan-Lusztig polynomials for Deodhar elements.
• The Kazhdan-Lusztig conjecture for generalized Verma modules
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• Kazhdan-Lusztig polynomials and canonical basis
• Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
• A combinatorial formula for the character of the diagonal coinvariants
• Tight quotients and double quotients in the Bruhat order.
• Enumerative and combinatorial properties of Dyck partitions
• Jack superpolynomials, superpartition ordering and determinantal formulas
• Kazhdan-Lusztig and \(R\)-polynomials, Young's lattice, and Dyck partitions.
• On the decomposition matrices of the quantized Schur algebra
• Overpartitions, lattice paths, and Rogers-Ramanujan identities
• Overpartition pairs and two classes of basic hypergeometric series
• Boolean elements in Kazhdan-Lusztig theory.
• Combinatorics of Coxeter Groups
• Overpartitions
• A combinatorial formula for Macdonald polynomials

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