4 research outputs found
Bethe subalgebras of the group algebra of the symmetric group
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