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 $w$, $w^{\prime }$ in…