Séminaire Lotharingien de Combinatoire, 89B.51 (2023), 12 pp.
Daniel Orr, Mark Shimozono, and Joshua Jeishing Wen
Wreath Macdonald Operators
Abstract.
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P-polynomials.
Our operators arise from
the action of the horizontal Heisenberg subalgebra in the vertex representation of the quantum toroidal algebra.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
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