Bruhat Order in the Full Symmetric sln Toda Lattice on Partial Flag Space

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• ISSN: 1815-0659
• Main Authors: Chernyakov, Y.B., Sharygin, G.I., Sorin, A.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147851
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bruhat Order in the Full Symmetric sln Toda Lattice on Partial Flag Space
 / Y.B. Chernyakov, G.I. Sharygin, A.S. Sorin // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 23 назв. — англ.

In our previous paper [Comm. Math. Phys. 330 (2014), 367-399] we described the asymptotic behaviour of trajectories of the full symmetric sln Toda lattice in the case of distinct eigenvalues of the Lax matrix. It turned out that it is completely determined by the Bruhat order on the permutation grou...