Dunkl operators at infinity and Calogero-Moser systems

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 classica...

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Bibliographic Details
Main Authors: Alexander Veselov, A.N. Sergeev
Format: Default Article
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/2134/17029
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