Abacus-histories and the combinatorics of creation operators

DOI10.1016/j.jcta.2020.105330zbMath1448.05217arXiv2009.06684OpenAlexW3085538744MaRDI QIDQ2005201

Gregory S. Warrington, Nicholas A. Loehr

Publication date: 7 October 2020

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

Full work available at URL: https://arxiv.org/abs/2009.06684

zbMATH Keywords

Schur functionslattice pathsBernstein operatorssemistandard tableauxHall-Littlewood polynomialsabacicreation operatorsabacus historiesHMZ operatorsJing operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Uses Software

• SageMath
• Python

Cites Work

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• The combinatorics of the HMZ operators applied to Schur functions
• A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
• Abacus Proofs of Schur Function Identities
• HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS
• Subgroup lattices and symmetric functions
• Reduced notation, inner plethysms and the symmetric group
• Combinatorics, Second Edition

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