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arXiv · 1004.4248

Bethe subalgebras of the group algebra of the symmetric group

E. Mukhin·V. Tarasov·A. Varchenko
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Abstract

We introduce families of maximal commutative subalgebras, called Bethe subalgebras, of the group algebra of the symmetric group. Bethe subalgebras are deformations of the Gelfand-Zetlin subalgebra. We describe various properties of Bethe subalgebras.

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BibTeXRIS

E. Mukhin, V. Tarasov, A. Varchenko. 2013-03-17. Bethe subalgebras of the group algebra of the symmetric group. https://arxiv.org/abs/1004.4248

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