Bethe subalgebras of the group algebra of the symmetric group
classification
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subalgebrasbethegroupalgebrasymmetriccalledcommutativedeformations
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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.
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