Geodesic
Wreath Macdonald operators
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e116

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Orr, Daniel; Shimozono, Mark; Wen, Joshua. Wreath Macdonald operators. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e116. doi: 10.1017/fms.2025.10061
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