A proof of the theta operator conjecture

DOI10.1016/j.jcta.2021.105535zbMath1476.05201arXiv2004.05259OpenAlexW3198359118WikidataQ113871624 ScholiaQ113871624MaRDI QIDQ2237939

Marino Romero

Publication date: 28 October 2021

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

Full work available at URL: https://arxiv.org/abs/2004.05259

zbMATH Keywords

symmetric functionsMacdonald polynomialsdelta conjecture

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Cites Work

• Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
• Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
• Five-term relation and Macdonald polynomials
• Theta operators, refined delta conjectures, and coinvariants
• The Delta Conjecture
• Unnamed Item

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