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The Racah algebra and superintegrable models

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, , Citation Vincent X Genest et al 2014 J. Phys.: Conf. Ser. 512 012011 DOI 10.1088/1742-6596/512/1/012011

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1 Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Centre-ville station, Montréal(QC), H3C3J7, Canada

2 Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Centre-ville station, Montréal (QC), H3C 3J7, Canada

3 Donetsk Institute for Physics and Technology, Donetsk 83114, Ukraine

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1742-6596/512/1/012011

Abstract

The universal character of the Racah algebra will be illustrated by showing that it is at the center of the relations between the Racah polynomials, the recoupling of three su(1,1) representations and the symmetries of the generic second-order superintegrable model on the 2-sphere.

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10.1088/1742-6596/512/1/012011