We consider a tensor product V(b)= \otimes_{i=1}^n\C^N(b_i) of the Yangian
Y(glN) evaluation vector representations. We consider the action of the
commutative Bethe subalgebra Bq⊂Y(glN) on a glN-weight subspace
V(b)λ⊂V(b) of weight λ. Here the Bethe algebra depends
on the parameters q=(q1,...,qN). We identify the Bq-module
V(b)λ with the regular representation of the algebra of functions on a
fiber of a suitable discrete Wronski map. If q=(1,...,1), we study the action
of Bq=1 on a space V(b)λsing of singular vectors of a certain
weight. Again, we identify the Bq=1-module V(b)λsing with the
regular representation of the algebra of functions on a fiber of another
suitable discrete Wronski map.
These results we announced earlier in relation with a description of the
quantum equivariant cohomology of the cotangent bundle of a partial flag
variety and a description of commutative subalgebras of the group algebra of a
symmetric group.Comment: Latex, 23 pages, misprints correcte