Tyurin parameters of commuting pairs and infinite dimensional Grassmann manifold
| dc.creator | Takasaki, Kanehisa | |
| dc.date | 2005-05-02 | |
| dc.date.accessioned | 2026-07-07T05:36:27Z | |
| dc.date.available | 2026-07-07T05:36:27Z | |
| dc.description | Commuting pairs of ordinary differential operators are classified by a set of algebro-geometric data called ``algebraic spectral data''. These data consist of an algebraic curve (``spectral curve'') $Γ$ with a marked point $γ_\infty$, a holomorphic vector bundle $E$ on $Γ$ and some additional data related to the local structure of $Γ$ and $E$ in a neighborhood of $γ_\infty$. If the rank $r$ of $E$ is greater than 1, one can use the so called ``Tyurin parameters'' in place of $E$ itself. The Tyurin parameters specify the pole structure of a basis of joint eigenfunctions of the commuting pair. These data can be translated to the language of an infinite dimensional Grassmann manifold. This leads to a dynamical system of the standard exponential flows on the Grassmann manifold, in which the role of Tyurin parameters and some other parameters is made clear. | |
| dc.description | latex2e, use amssymb and amsmath packages, contribution to proceedings of RIMS workshop "Elliptic Integrable Systems" (RIMS, 2004) | |
| dc.identifier | https://arxiv.org/abs/nlin/0505005 | |
| dc.identifier | http://arxiv.org/abs/nlin/0505005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80999 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Algebraic Geometry | |
| dc.title | Tyurin parameters of commuting pairs and infinite dimensional Grassmann manifold | |
| dc.type | text |