4 citations · 6 across the 3 of their papers we have counts for
4 papers
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…
Noncommutative cross-ratio and Schwarz derivative
Vladimir Retakh, Vladimir Rubtsov, Georgy Sharygin
We present here a theory of noncommutative cross-ratio, Schwarz derivative and their connections and relations to the operator cross-ratio. We apply the theory to "noncommutative e…
The Full Symmetric Toda Flow and Intersections of Bruhat Cells
Yuri B. Chernyakov, Georgy I. Sharygin, Alexander S. Sorin +1
In this short note we show that the Bruhat cells in real normal forms of semisimple Lie algebras enjoy the same property as their complex analogs: for any two elements , in…
Bruhat Order in Full Symmetric Toda System
Yu. B. Chernyakov, G. I. Sharygin, A. S. Sorin
In this paper we discuss some geometrical and topological properties of the full symmetric Toda system. We show by a direct inspection that the phase transition diagram for the ful…