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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 19, 2013 11:30–12:20, Moscow, Independent University of Moscow
 


Dunkl operators at infinity and Calogero–Moser systems

A. P. Veselov
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A. P. Veselov


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Abstract: 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 problems at infinity. As a corollary we have a simple proof of integrability of the deformed quantum CMS systems related to classical Lie superalgebras. The talk is based on a joint work with A. N. Sergeev.

Language: English

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