3 papers
math.QA2025
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…
math.CV2025
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…
math.QA2025
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…