Lie Superalgebras and Calogero–Moser–Sutherland Systems |
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Authors: | A N Sergeev |
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Institution: | 1.N. G. Chernyshevsky Saratov State University,Saratov,Russia;2.National Research University “Higher School of Economics,”,Moscow,Russia |
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Abstract: | We review recent results obtained at the intersection of the theory of quantum deformed Calogero–Moser–Sutherland systems and the theory of Lie superalgebras. We begin with a definition of admissible deformations of root systems of basic classical Lie superalgebras. For classical series, we prove the existence of Lax pairs. Connections between infinite-dimensional Calogero–Moser–Sutherland systems, deformed quantum CMS systems, and representation theory of Lie superalgebras are discussed. |
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