Toda flows and real Hessenberg manifolds (Q1589359)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Toda flows and real Hessenberg manifolds |
scientific article; zbMATH DE number 1542109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toda flows and real Hessenberg manifolds |
scientific article; zbMATH DE number 1542109 |
Statements
Toda flows and real Hessenberg manifolds (English)
0 references
11 December 2000
0 references
The paper deals with the study of real Hessenberg manifolds and relates their topology to the Toda flow on \(p\), the ``symmetric'' part of a semisimple Lie algebra \(g=q+p\) (Cartan decomposition). The authors obtain their mod 2 Betti numbers by reversing Morse inequalities using a theorem of Floyd and a result of the Weyl group.
0 references
Cartan decomposition
0 references
real Hessenberg manifolds
0 references
Toda flow
0 references
Lie algebra
0 references
Betti numbers
0 references
Morse inequalities
0 references
Weyl group
0 references
0 references
0 references
