Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893558 | Journal of Geometry and Physics | 2008 | 20 Pages |
Abstract
The action of Sl(r,k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GIT and to those used in the study of vector bundles, the (semi)stable points are introduced. It is shown that any point admits a Harder–Narasimhan filtration and that, if it is semistable, it has a Jordan–Hölder filtration. Finally, theses results are compared with the well-known theory of vector bundles on an algebraic curve.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A.C. Casimiro, J.M. Muñoz Porras, F.J. Plaza Martín,