Wreath Macdonald operators Article Swipe
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Daniel L. Orr
,
Mark Shimozono
,
Joshua Jeishing Wen
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1017/fms.2025.10061
· OA: W4412385038
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1017/fms.2025.10061
· OA: W4412385038
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P -polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree. Our operators arise from integral formulas for the action of the horizontal Heisenberg subalgebra in the vertex representation of the corresponding quantum toroidal algebra.
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