Twisted GL\(_n\) loop group orbit and solutions of the WDVV equations (Q2729311)
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: Twisted GL\(_n\) loop group orbit and solutions of the WDVV equations |
scientific article; zbMATH DE number 1622406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twisted GL\(_n\) loop group orbit and solutions of the WDVV equations |
scientific article; zbMATH DE number 1622406 |
Statements
22 July 2001
0 references
Darboux-Egoroff system
0 references
multicomponent KP hierarchy
0 references
twisted loop group orbits
0 references
WDVV equations
0 references
Twisted GL\(_n\) loop group orbit and solutions of the WDVV equations (English)
0 references
The author considers a twisted \(\text{GL}_n\) loop group and its homogeneous space \(\text{gr}^{(2)}\) related to the infinite-dimensional Sato Grassmannian. It is shown that \(\tau\)-functions \(\tau_W\) associated to points \(W\in\text{gr}^{(2)}\) lead to solutions of the Darboux-Egoroff system as well as WDVV equations.
0 references
