Eigenvectors of Lax matrices, spaces of hyperelliptic curves and action coordinates for Moser systems (Q1577153)
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: Eigenvectors of Lax matrices, spaces of hyperelliptic curves and action coordinates for Moser systems |
scientific article; zbMATH DE number 1498349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvectors of Lax matrices, spaces of hyperelliptic curves and action coordinates for Moser systems |
scientific article; zbMATH DE number 1498349 |
Statements
Eigenvectors of Lax matrices, spaces of hyperelliptic curves and action coordinates for Moser systems (English)
0 references
30 August 2000
0 references
Following the idea of \textit{S.~P.~Novikov} and \textit{A.~P.~Veselov} [Proc. Steklov Inst. Math. 165, 53-65 (1985), translation from Tr. Mat. Inst. Steklova 165, 49-61 (1984; Zbl 0565.58022)], the author describes a Poisson structure on some open subset of the relative Jacobian over a moduli space of hyperelliptic curves. Using this construction, the author calculates the action coordinates for some Moser systems (geodesics on quadrics and geodesic flows on small coadjoint orbits of the rotation group \(SO(N)\)).
0 references
eigenvectors of a Lax matrix
0 references
Poisson structure
0 references
hyperelliptic curves
0 references
geodesic flows
0 references
rotation group \(SO(N)\)
0 references
