The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley-Lieb algebras

DOI10.1112/jlms.13007MaRDI QIDQ6641567

Lucas Gagnon, Nantel Bergeron

Publication date: 20 November 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

quasisymmetric polynomials without constant term

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hecke algebras and their representations (20C08) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Noncrossing partitions and Bruhat order
• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Some properties of crossings and partitions
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• Hecke algebras, difference operators, and quasi-symmetric functions
• Algebraic aspects of increasing subsequences
• Rigidity for the Hopf algebra of quasisymmetric functions
• Coxeter-Catalan combinatorics and Temperley-Lieb algebras
• Recent trends in quasisymmetric functions
• Cambrian lattices.
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• Noncrossing Partitions in Surprising Locations
• Clusters, Coxeter-sortable elements and noncrossing partitions
• A TEMPERLEY-LIEB BASIS COMING FROM THE BRAID GROUP
• Catalan paths and quasi-symmetric functions
• An Introduction to Quasisymmetric Schur Functions
• Ordered structures and partitions

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