Modules of the 0-Hecke algebra arising form standard permuted composition tableaux

zbMath1506.05213MaRDI QIDQ2680948

Sun-Young Nam, Young-Hun Kim, Seung-Il Choi, Young-Tak Oh

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/69.html

zbMATH Keywords

projective cover0-Hecke algebraquasisymmetric characteristicpermuted composition tableauquasisymmetric Schur function

Mathematics Subject Classification ID

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

Cites Work

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• A tableau approach to the representation theory of 0-Hecke algebras
• 0-Hecke algebras of finite Coxeter groups.
• Modules of the 0-Hecke algebra and quasisymmetric Schur functions
• Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\)
• Permuted composition tableaux, 0-Hecke algebra and labeled binary trees
• Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions
• Modules of the 0-Hecke algebra arising from standard permuted composition tableaux
• Indecomposable 0-Hecke modules for extended Schur 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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