Bernstein operators and super-Schur functions: combinatorial aspects

DOI10.1007/s11005-018-1139-zzbMath1415.05178arXiv1802.01705OpenAlexW3101345294MaRDI QIDQ2000946

Pierre Mathieu, Luc Lapointe, L. Alarie-Vézina, Olivier Blondeau-Fournier

Publication date: 1 July 2019

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01705

zbMATH Keywords

Bernstein operatorssuper-Schursymmetric superpolynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Cites Work

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• Pieri rules for Schur functions in superspace
• Super boson-fermion correspondence
• Symmetric functions, codes of partitions and the KP hierarchy
• 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
• Symmetric functions and the KP and BKP hierarchies
• Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials

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