Algebra seminar: Commutative Bethe subalgebras in Yangians

Event details

We define the family of commutative Bethe subalgebras of the Yangian of any simple Lie algebra parameterized by the corresponding adjoint group G. We extend the parameter space of Bethe subalgebras to the wonderful compactification of G, introduced by De Concini and Procesi. Then we restrict to the case when parameter is a regular element from the torus, show that these subalgebras are free and maximal commutative, and give the definition of limit subalgebras. We consider the case of mathfrak as an example