Bethe subalgebras of the group algebra of the symmetric group

Published 24 Apr 2010 in math.QA, math-ph, math.MP, and math.RT | (1004.4248v4)

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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