%0 Journal Article %A Veselov, Alexander %A Sergeev, A.N. %D 2015 %T Dunkl operators at infinity and Calogero-Moser systems %U https://repository.lboro.ac.uk/articles/journal_contribution/Dunkl_operators_at_infinity_and_Calogero-Moser_systems/9386108 %2 https://repository.lboro.ac.uk/ndownloader/files/16999307 %K untagged %K Mathematical Sciences not elsewhere classified %X 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. %I Loughborough University