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math.AG2013
On the number of populations of critical points of master functions
Evgeny Mukhin, Alexander Varchenko
We consider the master functions associated with one irreducible integrable highest weight representation of a Kac-Moody algebra. We study the generation procedure of new critical…
math.AG2013★ 7 cited
Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)
E. Mukhin, V. Tarasov, A. Varchenko
We consider a tensor product $V(b)= \otimes_{i=1}^n\C^N(b_i)$ of the Yangian evaluation vector representations. We consider the action of the commutative Bethe subalgebra…