17 citations · 51 across the 17 of their papers we have counts for
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-duality and Olshanski homomorphism
B. Feigin, L. Rybnikov, F. Uvarov
We show that the images of the Bethe subalgebras of the Yangians and under the homomorphisms to given by the…
Gaudin model and Deligne's category
B. Feigin, L. Rybnikov, F. Uvarov
We show that the construction of the higher Gaudin Hamiltonians associated to the Lie algebra admits an interpolation to any complex . We do this using the D…
On classical limits of Bethe subalgebras in Yangians
Aleksei Ilin, Leonid Rybnikov
The Yangian of a simple Lie algebra can be regarded as a deformation of two different Hopf algebras: the universal enveloping algebra $U(\mathfrak{…
Gelfand-Tsetlin degeneration of shift of argument subalgebras in type D
Leonid Rybnikov, Mikhail Zavalin
The universal enveloping algebra of any semisimple Lie algebra contains a family of maximal commutative subalgebras, called shift of argument subalgebras, parametriz…
Bethe subalgebras in Yangians and the wonderful compactification
Aleksei Ilin, Leonid Rybnikov
We study the family of Bethe subalgebras in the Yangian parameterized by the corresponding adjoint Lie group . We describe their classical limits as subalgebra…
Gelfand-Tsetlin degeneration of shift of argument subalgebras in types B and C
Leonid Rybnikov, Mikhail Zavalin
The universal enveloping algebra of any semisimple Lie algebra contains a family of maximal commutative subalgebras, called shift of argument subalgebras, parametriz…