{
"id": "1907.05410",
"version": "v1",
"published": "2019-07-11T17:51:10.000Z",
"updated": "2019-07-11T17:51:10.000Z",
"title": "On generalized Macdonald polynomials",
"authors": [
"A. Mironov",
"A. Morozov"
],
"comment": "22 pages",
"categories": [
"hep-th",
"math-ph",
"math.MP"
],
"abstract": "Generalized Macdonald polynomials (GMP) are eigenfunctions of specifically-deformed Ruijsenaars Hamiltonians and are built as triangular polylinear combinations of Macdonald polynomials. They are orthogonal with respect to a modified scalar product, which could be constructed with the help of an increasingly important triangular perturbation theory, showing up in a variety of applications. A peculiar feature of GMP is that denominators in this expansion are fully factorized, which is a consequence of a hidden symmetry resulting from the special choice of the Hamiltonian deformation. We introduce also a simplified but deformed version of GMP, which we call generalized Schur functions. Our basic examples are bilinear in Macdonald polynomials.",
"revisions": [
{
"version": "v1",
"updated": "2019-07-11T17:51:10.000Z"
}
],
"analyses": {
"keywords": [
"generalized macdonald polynomials",
"increasingly important triangular perturbation theory",
"triangular polylinear combinations",
"modified scalar product",
"specifically-deformed ruijsenaars hamiltonians"
],
"note": {
"typesetting": "TeX",
"pages": 22,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}