Dunkl operators at infinity and Calogero-Moser systems Alexander Veselov A.N. Sergeev 2134/17029 https://repository.lboro.ac.uk/articles/journal_contribution/Dunkl_operators_at_infinity_and_Calogero-Moser_systems/9386108 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. 2015-03-18 09:26:34 untagged Mathematical Sciences not elsewhere classified