Dunkl Operators at Infinity and Calogero–Moser Systems
Dunkl Operators at Infinity and Calogero–Moser Systems
We define the Dunkl and Dunkl–Heckman operators in infinite number of variables and use them to construct the quantum integrals of the Calogero–Moser–Sutherland (CMS) problems at infinity. As a corollary, we have a simple proof of integrability of the deformed quantum CMS systems related to classical Lie superalgebras. We show …