4 research outputs found

    Bethe subalgebras of the group algebra of the symmetric group

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    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.Comment: AmsLaTeX, 32 pages; references update
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