Indecomposable 0-Hecke modules for extended Schur functions

DOI10.1090/proc/14879zbMath1435.05212arXiv1906.04383OpenAlexW2982704685WikidataQ126862700 ScholiaQ126862700MaRDI QIDQ5221336

Dominic Searles

Publication date: 25 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04383

zbMATH Keywords

quasisymmetric characteristicextended Schur functions\(0\)-Hecke algebrastandard extended tableaux

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08)

Related Items (12)

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 ⋮ On antipodes of immaculate functions ⋮ Young row-strict quasisymmetric Schur functions and 0-Hecke modules ⋮ Modules of the 0-Hecke algebra arising form standard permuted composition tableaux ⋮ 0-Hecke-Clifford modules from diagrams ⋮ Row-strict dual immaculate functions and 0-Hecke modules ⋮ Extended Schur functions and 0-Hecke modules ⋮ Modules of the 0-Hecke algebra arising from standard permuted composition tableaux ⋮ The genomic Schur function is fundamental-positive

Cites Work

• Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm
• Quasisymmetric Schur functions
• Skew quasisymmetric Schur functions and noncommutative Schur functions
• A Schur-like basis of \(\mathsf{NSym}\) defined by a Pieri rule
• Modules of the 0-Hecke algebra and quasisymmetric Schur functions
• Permuted composition tableaux, 0-Hecke algebra and labeled binary trees
• Noncommutative symmetric 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 decomposition of 0-Hecke modules associated to quasisymmetric Schur functions
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