Showing nlin.SIShow all
2 papers · 1 filter
nlin.SI2025
Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems
M. A. Chirkov, A. V. Mikhailov, D. V. Talalaev
Using the methods of quantisation ideals, we construct a family of quantisations corresponding to Case alpha in Sergeev's classification of solutions to the tetrahedron equation. T…
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…