Cut-and-join operators and Macdonald polynomials from the 3-Schur functions
High Energy Physics - Theory
2019-07-09 v4 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We demonstrate in some detail how Macdonald polynomials emerge from the recently introduced 3-Schur functions when the plane-partition vector time-variables are projected onto the ordinary scalar times under non-vanishing angles, which depend on and . We also explain how the cut-and-join operators smoothly interpolate between different cases. Most of consideration is restricted to level two.
Cite
@article{arxiv.1810.00395,
title = {Cut-and-join operators and Macdonald polynomials from the 3-Schur functions},
author = {A. Morozov},
journal= {arXiv preprint arXiv:1810.00395},
year = {2019}
}
Comments
21 pages