A Schur-like basis of \(\mathsf{NSym}\) defined by a Pieri rule

zbMath1301.05357MaRDI QIDQ743654

D. Kharzeev

Publication date: 30 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i3p41

zbMATH Keywords

non-commutative symmetric functionsPieri rulesSchur basis

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05)

Related Items (12)

Kohnert Polynomials ⋮ Multiplicative structures of the immaculate basis of non-commutative symmetric functions ⋮ On antipodes of immaculate functions ⋮ Row-strict dual immaculate functions and 0-Hecke modules ⋮ Row-strict dual immaculate functions ⋮ A generalization of the dual immaculate quasisymmetric functions in partially commutative variables ⋮ Extended Schur functions and 0-Hecke modules ⋮ Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions ⋮ The expansion of immaculate functions in the ribbon basis ⋮ Lifting the dual immaculate functions ⋮ Indecomposable 0-Hecke modules for extended Schur functions ⋮ Skew polynomials and extended Schur functions

Cites Work

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• Quasisymmetric Schur functions
• Skew quasisymmetric Schur functions and noncommutative Schur functions
• Noncommutative symmetric functions
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Refinements of the Littlewood-Richardson rule
• A combinatorial formula for Macdonald polynomials
• 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 immaculate basis of the non-commutative symmetric functions

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