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
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Mathematical Sciences not elsewhere classified