For r>2, an explicit operator identity (Tesler identity) relates each wreath Macdonald polynomial to a delta function and yields Macdonald-Koornwinder duality, evaluation, interpolation, Kostka, and bispectral results.
Wreath Macdonald operators
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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
fields
math.QA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Tesler identities for wreath Macdonald polynomials
For r>2, an explicit operator identity (Tesler identity) relates each wreath Macdonald polynomial to a delta function and yields Macdonald-Koornwinder duality, evaluation, interpolation, Kostka, and bispectral results.