Hopf algebra structure of symmetric and quasisymmetric functions in superspace

DOI10.1016/j.jcta.2019.02.016zbMath1416.05285arXiv1907.09975OpenAlexW2921811059WikidataQ128276149 ScholiaQ128276149MaRDI QIDQ2000645

María Elena Pinto, Luc Lapointe, Susanna Fishel

Publication date: 28 June 2019

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09975

zbMATH Keywords

Hopf algebrassymmetric functionssuperspacequasisymmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hopf algebras and their applications (16T05)

Related Items (1)

Quasisymmetric harmonics of the exterior algebra

Cites Work

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• Pieri rules for Schur functions in superspace
• Orthogonality of Jack polynomials in superspace
• Noncommutative symmetric functions
• On posets and Hopf algebras
• Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables
• Schur superpolynomials: combinatorial definition and Pieri rule
• Macdonald polynomials in superspace as eigenfunctions of commuting operators
• Classical symmetric functions in superspace
• A combinatorial formula for Macdonald polynomials
• Evaluation and Normalization of Jack Superpolynomials
• An Introduction to Quasisymmetric Schur Functions

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