Ext operators for wreath Macdonald polynomials

2025/08/14 by Ferlinc, Seamus Albion, Wen, Joshua Jeishing
#17B69 #33D52 #Combinatorics (math.CO) #FOS: Mathematics #Primary: 05E05 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary: 14D21

paper · doi:10.48550/arxiv.2508.10772

Abstract

We introduce a wreath Macdonald polynomial analogue of the Carlsson--Nekrasov--Okounkov vertex operator. As an application, we prove a modular (q,t)-Nekrasov--Okounkov formula for r≥ 3 originally conjectured by Walsh and Warnaar.

Citations

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Related

• Tesler identities for wreath Macdonald polynomials
• Wreath Macdonald polynomials, a survey
• Some remarkable new Plethystic Operators in the Theory of Macdonald Polynomials
• Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients
• Wreath Macdonald operators