Permuted composition tableaux, 0-Hecke algebra and labeled binary trees

DOI10.1016/j.jcta.2018.09.003zbMath1400.05272arXiv1712.05008OpenAlexW2963236291WikidataQ129229491 ScholiaQ129229491MaRDI QIDQ1621431

Stephanie Van Willigenburg, Vasu V. Tewari

Publication date: 8 November 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05008

zbMATH Keywords

Dyck pathdescentpattern avoidance0-Hecke algebralabeled treecomposition tableauallowable pairreverse tableau

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08)

Related Items

0-Hecke modules for Young row-strict quasisymmetric Schur functions ⋮ The projective cover of tableau-cyclic indecomposable 𝐻_{𝑛}(0)-modules ⋮ Homological properties of 0-Hecke modules for dual immaculate quasisymmetric functions ⋮ Weak Bruhat interval modules of the 0-Hecke algebra ⋮ Hecke algebras of simply-laced type with independent parameters ⋮ Young row-strict quasisymmetric Schur functions and 0-Hecke modules ⋮ Modules of the 0-Hecke algebra arising form standard permuted composition tableaux ⋮ Modules of the 0-Hecke algebra arising from standard permuted composition tableaux ⋮ Smirnov trees ⋮ Lifting the dual immaculate functions ⋮ Indecomposable 0-Hecke modules for extended Schur functions

Cites Work

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• Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm
• 0-Hecke algebra actions on coinvariants and flags
• Bijections between affine hyperplane arrangements and valued graphs
• A lift of Schur's Q-functions to the peak algebra
• A tableau approach to the representation theory of 0-Hecke algebras
• QSym over Sym has a stable basis
• Quasisymmetric Schur functions
• Modules of the 0-Hecke algebra and quasisymmetric Schur functions
• Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions
• An explicit construction of type A Demazure atoms
• Representation theory of the 0-Hecke algebra
• Parking functions, valet functions and priority queues
• Priority queue sorting and labeled trees
• Deformations of the braid arrangement and trees
• Kohnert tableaux and a lifting of quasi-Schur functions
• Gessel polynomials, rooks, and extended linial arrangements
• Set-valued skyline fillings
• Schur positivity and labeled binary trees
• Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions
• Symmetries in trees and parking functions
• Priority queues and multisets
• 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra
• The permutational power of a priority queue
• A decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth algorithm
• Combinatorics of Coxeter Groups
• Refinements of the Littlewood-Richardson rule
• An Introduction to Quasisymmetric Schur Functions
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions
• Indecomposable modules for the dual immaculate basis of quasi-symmetric functions
• The Hook Graphs of the Symmetric Group
• Ordered set partitions and the 0-Hecke algebra
• The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions