VESELOV, A.P. and SERGEEV, A.N., 2015. Dunkl operators at infinity and Calogero-Moser systems. International Mathematics Research Notices, 21, pp.10959-10986.
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 how this naturally leads to a quantum version of the Moser matrix, which in the deformed case was not known before.
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