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Title: Dunkl operators at infinity and Calogero-Moser systems
Authors: Veselov, A.P.
Sergeev, A.N.
Issue Date: 2015
Publisher: Oxford University Press (© The Authors 2015)
Citation: VESELOV, A.P. and SERGEEV, A.N., 2015. Dunkl operators at infinity and Calogero-Moser systems. International Mathematics Research Notices, 21, pp.10959-10986.
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 (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.
Description: This is an Open Access article distributed by Oxford University Press under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. It was originally published at: http://dx.doi.org/10.1093/imrn/rnv002
Version: Published
DOI: 10.1093/imrn/rnv002
URI: https://dspace.lboro.ac.uk/2134/17029
Publisher Link: http://dx.doi.org/10.1093/imrn/rnv002
ISSN: 1687-3017
Appears in Collections:Published Articles (Maths)

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