Row-strict dual immaculate functions

DOI10.1016/j.aam.2023.102540zbMath1517.05178arXiv2202.00706OpenAlexW4367313129MaRDI QIDQ6107822

Julianne Vega, Stephanie Van Willigenburg, Sheila Sundaram, Elizabeth Niese, Shi-Yun Wang

Publication date: 3 July 2023

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

Full work available at URL: https://arxiv.org/abs/2202.00706

zbMATH Keywords

Hopf algebracompositioncreation operatorSchur functionPieri ruleskew Schur functionquasisymmetric functiontableau combinatoricsdual immaculate functionhook Schur function

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (1)

A generalization of the dual immaculate quasisymmetric functions in partially commutative variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Row-strict quasisymmetric Schur functions
• A lift of Schur's Q-functions to the peak algebra
• Quasisymmetric Schur functions
• Skew quasisymmetric Schur functions and noncommutative Schur functions
• A Schur-like basis of \(\mathsf{NSym}\) defined by a Pieri rule
• Quasisymmetric \((k,l)\)-hook Schur functions
• Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions
• Noncommutative symmetric functions
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Schur functions in noncommuting variables
• A proof of the shuffle conjecture
• An Introduction to Quasisymmetric Schur Functions
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions
• Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
• Row-strict dual immaculate functions and 0-Hecke modules

This page was built for publication: Row-strict dual immaculate functions