1 citations · 1 across the 1 of their papers we have counts for
3 papers
nlin.SI2024
Full symmetric Toda system and vector fields on the group
Yu. B. Chernyakov, G. I. Sharygin
In this paper we discuss the relation between the functions that give first integrals of full symmetric Toda system (an important Hamilton system on the space of traceless real sym…
math.RT2018
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…
nlin.SI2012★ 1 cited
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…