On antipodes of immaculate functions

DOI10.1007/s00026-022-00632-0zbMath1526.05137MaRDI QIDQ6065685

John Maxwell Campbell

Publication date: 15 November 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

antipodenoncommutative symmetric functionJacobi-Trudi formulaimmaculate basis

Mathematics Subject Classification ID

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
• Antipodes and involutions
• The expansion of immaculate functions in the ribbon basis
• Skew quasisymmetric Schur functions and noncommutative Schur functions
• A Schur-like basis of \(\mathsf{NSym}\) defined by a Pieri rule
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions
• Noncommutative symmetric functions
• Lifting the dual immaculate functions
• Schur functions in noncommuting variables
• Extended Schur functions and 0-Hecke modules
• Indecomposable 0-Hecke modules for extended Schur functions
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions
• Double posets and the antipode of QSym
• Hopf Monoids and Generalized Permutahedra

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