7 citations · 15 across the 11 of their papers we have counts for
11 papers
Eigenvectors and Eigenvalues of -Curvature Operators for KZ--type Differential Connections
Vitaly Tarasov, Alexander Varchenko
A KZ-type connection in characteristic has -curvature operators. These operators are commuting endomorphisms of the connection. We present a Bethe-ansatz-type construction o…
Eigenvectors of -Curvature for Geometric Difference Equations
Vitaly Tarasov, Alexander Varchenko
A qKZ-type additive discrete flat connection in characteristic has -curvature operators. They are commuting automorphisms of the connection. We present a Bethe-ansatz-type c…
Monodromy Eigenvectors for Difference Equations with Root-of-Unity Step
Vitaly Tarasov, Alexander Varchenko
A qKZ-type discrete flat connection with multiplicative step has monodromy operators when is a root of unity. The monodromy operators are commuting endomorphisms of the con…
Positivity and universal Plücker coordinates for spaces of quasi-exponentials
Steven N. Karp, Evgeny Mukhin, Vitaly Tarasov
A quasi-exponential is an entire function of the form , where is a polynomial and . Let $V = \langle e^{h_1u}p_1(u), \dots, e^{h_Nu}p_N(u) \ran…
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…