23 citations · 23 across the 2 of their papers we have counts for
2 papers
nlin.SI2025
On a family of Poisson brackets on gl(n) compatible with the Sklyanin bracket
Vladimir V. Sokolov, Dmitry V. Talalaev
In this paper, we study a family of compatible quadratic Poisson brackets on gl(n), generalizing the Sklyanin one. For any of the brackets in the family, the argument shift determi…
math.QA2005★ 23 cited
Compatible Lie brackets related to elliptic curve
A V Odesskii, V V Sokolov
For the direct sum of several copies of sl_n, a family of Lie brackets compatible with the initial one is constructed. The structure constants of these brackets are expressed in te…