Year: 2026
Type: preprint
Abstract: We study Macdonald operators associated to classical root systems of types $B_N$, $C_N$, and $D_N$. We provide explicit formulas for decomposing the cumulative action of these operators as the sum of the actions of lower-rank operators and auxiliary operators. We also discuss the same idea in the elliptic case, also known as Ruijsenaars operators, and show that under the trigonometric limit, the identity reduces to type-$A_N$ decomposition.
Source: arXiv (Cornell University)
Author: Vu, Hieu Trung
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223052321