Modules of the 0-Hecke algebra and quasisymmetric Schur functions

DOI10.1016/j.aim.2015.08.012zbMath1323.05132arXiv1403.1527OpenAlexW1956695937MaRDI QIDQ887326

Vasu V. Tewari, Stephanie Van Willigenburg

Publication date: 28 October 2015

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

Full work available at URL: https://arxiv.org/abs/1403.1527

zbMATH Keywords

representation theorySchur functionquasisymmetric function0-Hecke algebraweak Bruhat ordercomposition tableautruncated shifted tableau

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hopf algebras and their applications (16T05)

Related Items (28)

0-Hecke modules for Young row-strict quasisymmetric Schur functions ⋮ The projective cover of tableau-cyclic indecomposable 𝐻_{𝑛}(0)-modules ⋮ Permuted composition tableaux, 0-Hecke algebra and labeled binary trees ⋮ Homological properties of 0-Hecke modules for dual immaculate quasisymmetric functions ⋮ Weak Bruhat interval modules of the 0-Hecke algebra ⋮ Quasisymmetric and noncommutative skew Pieri rules ⋮ Skew row-strict quasisymmetric Schur functions ⋮ Hecke algebras of simply-laced type with independent parameters ⋮ Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property ⋮ 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 ⋮ Asymmetric Function Theory ⋮ Modules of the 0-Hecke algebra arising from standard permuted composition tableaux ⋮ Artin group injection in the Hecke algebra for right-angled groups ⋮ A tableau approach to the representation theory of 0-Hecke algebras ⋮ Quasisymmetric \((k,l)\)-hook Schur functions ⋮ Rigidity for the Hopf algebra of quasisymmetric functions ⋮ Ordered set partitions and the 0-Hecke algebra ⋮ Ordered set partitions and the 0-Hecke algebra ⋮ Lifting the dual immaculate functions ⋮ Polynomial bases: Positivity and Schur multiplication ⋮ The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions ⋮ Indecomposable 0-Hecke modules for extended Schur functions ⋮ The decomposition of 0-Hecke modules associated to quasisymmetric Schur functions ⋮ The genomic Schur function is fundamental-positive ⋮ Periodic P-partitions

Uses Software

• AdinKingRoichman

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