Pieri rules for Schur functions in superspace

DOI10.1016/J.JCTA.2016.11.005zbMath1355.05257arXiv1608.08577OpenAlexW2962931433MaRDI QIDQ507823

Luc Lapointe, Miles Eli Jones

Publication date: 9 February 2017

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

Full work available at URL: https://arxiv.org/abs/1608.08577

zbMATH Keywords

Schur functionskey polynomialssymmetric functions in superspace

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05)

Related Items (5)

N≥ 𝟐 symmetric superpolynomials ⋮ Pieri rules for the Jack polynomials in superspace and the 6-vertex model ⋮ Hopf algebra structure of symmetric and quasisymmetric functions in superspace ⋮ Bernstein operators and super-Schur functions: combinatorial aspects ⋮ The norm and the evaluation of the Macdonald polynomials in superspace

Cites Work

• Orthogonality of Jack polynomials in superspace
• An explicit construction of type A Demazure atoms
• Nonsymmetric Macdonald polynomials and Demazure characters.
• Macdonald polynomials in superspace: conjectural definition and positivity conjectures
• Double Macdonald polynomials as the stable limit of Macdonald superpolynomials
• Schur superpolynomials: combinatorial definition and Pieri rule
• Macdonald polynomials in superspace as eigenfunctions of commuting operators
• Classical symmetric functions in superspace
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• Overpartitions
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