Email this article The Maximality of Certain Commutative Subalgebras in Yangians
- Authors: Il’in A.I.1
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Affiliations:
- National Research University Higher School of Economics
- Issue: Vol 53, No 4 (2019)
- Pages: 309-312
- Section: Brief Communication
- URL: https://journal-vniispk.ru/0016-2663/article/view/234671
- DOI: https://doi.org/10.1134/S0016266319040087
- ID: 234671
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Abstract
It is proved that any Bethe subalgebra corresponding to a regular semisimple element in a Yangian is a maximal commutative subalgebra and, moreover, the centralizer of its quadratic part. As a consequence, a description of such subalgebras as the traces of the R-matrix over all finite-dimensional representations of the Yangian is obtained.
About the authors
A. I. Il’in
National Research University Higher School of Economics
Author for correspondence.
Email: alex.omsk2@gmail.com
Russian Federation, Moscow
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