1004.4248 (E. Mukhin et al.)

Bethe subalgebras of the group algebra of the symmetric group    [PDF]

E. Mukhin, V. Tarasov, A. Varchenko

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.

View original: http://arxiv.org/abs/1004.4248