36 citations · 149 across the 12 of their papers we have counts for
13 papers
Cherednik operators and Ruijsenaars-Schneider model at infinity
Maxim Nazarov, Evgeny Sklyanin
Heckman introduced operators on the space of polynomials in variables, such that these operators form a covariant set relative to permutations of the operators and variable…
Quantisation of Kadomtsev-Petviashvili equation
Karol K Kozlowski, Evgeny Sklyanin, Alessandro Torrielli
A quantisation of the KP equation on a cylinder is proposed that is equivalent to an infinite system of non-relativistic one-dimensional bosons carrying masses The H…
Lax operator for Macdonald symmetric functions
Maxim Nazarov, Evgeny Sklyanin
Using the Lax operator formalism, we construct a family of pairwise commuting operators such that the Macdonald symmetric functions of infinitely many variables and of two paramete…
Bispectrality for the quantum open Toda chain
Evgeny Sklyanin
An alternative to Babelon's (2003) construction of dual variables for the quantum open Toda chain is proposed that is based on the 2x2 Lax matrix and the corresponding quadratic R-…
Macdonald operators at infinity
Maxim Nazarov, Evgeny Sklyanin
We construct a family of pairwise commuting operators such that the Macdonald symmetric functions of infinitely many variables and of two parameters are their e…
Sekiguchi-Debiard operators at infinity
Maxim Nazarov, Evgeny Sklyanin
We construct a family of pairwise commuting operators such that the Jack symmetric functions of infinitely many variables are their eigenfunctions. These operators ar…