Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)   We consider a tensor product $V(b)= \otimes_{i=1}^n\C^N(b_i)$ of the Yangian
$Y(gl_N)$ evaluation vector representations. We consider the action of the
commutative Bethe subalgebra $B^q \subset Y(gl_N)$ on a $gl_N$-weight subspace
$V(b)_\lambda \subset V(b)$ of weight $\lambda$. Here the Bethe algebra depends
on the parameters $q=(q_1,...,q_N)$. We identify the $B^q$-module
$V(b)_\lambda$ 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 $B^{q=1}$ on a space $V(b)^{sing}_\lambda$ of singular vectors of a certain
weight. Again, we identify the $B^{q=1}$-module $V(b)^{sing}_\lambda$ 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.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con