Bethe subalgebras of the group algebra of the symmetric group

Details Bethe subalgebras of the group algebra of the symmetric group Bethe subalgebras of the group algebra of the symmetric group

2010-04-24

arxiv.org/abs/1004.4248v3

Mathematics

Quantum Algebra

AmsLaTeX, 31 pages; Section 7 extended, misprints corrected

Scientific paper

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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