7 citations · 15 across the 11 of their papers we have counts for
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New combinatorial formulae for nested Bethe vectors II
M. Kosmakov, V. Tarasov
We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y(gl_n). This paper extends the r…
New Combinatorial Formulae for Nested Bethe Vectors
Maksim Kosmakov, Vitaly Tarasov
We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian . The case of…
Duality for Knizhnik-Zamolodchikov and Dynamical Operators
Vitaly Tarasov, Filipp Uvarov
We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the -duality for the spa…
XXZ-type Bethe ansatz equations and quasi-polynomials
J. R. Li, V. Tarasov
We study solutions of the Bethe ansatz equation for the XXZ-type integrable model associated with the Lie algebra sl_N. We give a correspondence between solutions of the Bethe ansa…
Equivariant quantization of Poisson homogeneous spaces and Kostant's problem
E. Karolinsky, A. Stolin, V. Tarasov
Let be a finite dimensional split semisimple Lie algebra and a weight of . Let be the algebra of quantized regular functions on the connected sim…
A generalization of the Capelli identity
E. Mukhin, V. Tarasov, A. Varchenko
We prove a generalization of the Capelli identity. As an application we obtain an isomorphism of the Bethe subalgebras actions under the (gl(N),gl(M)) duality.