Introduces operator Γ yielding a creation formula for Macdonald polynomials, defines Macdonald characters, and poses positivity conjectures extending those on Jack polynomials.
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A differential expression is established for the Jack analog of the super nabla operator via Chapuy-Dołęga and dehomogenized Nazarov-Sklyanin operators, derived from a general structure-coefficient operator G.
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Macdonald characters from a new formula for Macdonald polynomials
Introduces operator Γ yielding a creation formula for Macdonald polynomials, defines Macdonald characters, and poses positivity conjectures extending those on Jack polynomials.