7 citations · 9 across the 5 of their papers we have counts for
5 papers
The Lie -Bianchi integrability of the full symmetric Toda system
Yury B. Chernyakov, Georgy I. Sharygin, Dmitry V. Talalaev
In this paper we prove that the full symmetric Toda system is integrable in the sense of the Lie-Bianchi criterion, i.e. that there exists a solvable Lie algebra of vector fields o…
Full symmetric Toda system: QR-solution for complete DLNT-family
Yury B. Chernyakov, Georgy I. Sharygin, Dmitry V. Talalaev
The paper is devoted to the algebraic and geometric aspects of the full symmetric Toda system. We construct a solution to the complete Deift-Li-Nanda-Tomei flows system using the Q…
On the invariants of the full symmetric Toda system
Yu. B. Chernyakov, G. I Sharygin, A. S. Sorin
In this paper we continue our study of the geometric properties of full symmetric Toda systems from \cite{CSS14,CSS17,CSS19}. Namely we describe here a simple geometric constructio…
Bruhat order in the Toda system on : an example of non-split real form
Yu. B. Chernyakov, G. I. Sharygin, A. S. Sorin
In our previous papers we described the structure of trajectories of the symmetric Toda system on normal real forms of various Lie algebras and showed that it was totally determine…
Quadratic algebras related to elliptic curves
Yu. Chernyakov, A. M. Levin, M. Olshanetsky +1
We construct quadratic finite-dimensional Poisson algebras and their quantum versions related to rank N and degree one vector bundles over elliptic curves with n marked points. The…