Email this article Lie Superalgebras and Calogero–Moser–Sutherland Systems
- Authors: Sergeev A.N.1,2
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Affiliations:
- N. G. Chernyshevsky Saratov State University
- National Research University “Higher School of Economics,”
- Issue: Vol 235, No 6 (2018)
- Pages: 756-787
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242157
- DOI: https://doi.org/10.1007/s10958-018-4092-6
- ID: 242157
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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.
About the authors
A. N. Sergeev
N. G. Chernyshevsky Saratov State University; National Research University “Higher School of Economics,”
Author for correspondence.
Email: SergeevAN@info.sgu.ru
Russian Federation, Saratov; Moscow
