A proof of the Theta Operator Conjecture

2020/04/10 by Marino Romero, Romero, Marino · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.2004.05259

arxiv created 2020/04/10 · arxiv updated 2020/04/14

Abstract

In the context of the (generalized) Delta Conjecture and its compositional form, D'Adderio, Iraci, and Wyngaerd recently stated a conjecture relating two symmetric function operators, D_k and Θ_k. We prove this Theta Operator Conjecture, finding it as a consequence of the five-term relation of Mellit and Garsia. As a result, we find surprising ways of writing the D_k operators.

Cited by

• Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients

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