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On Actions of a Maximal Torus on Orbits of Highest Weight Vectors

✍ Scribed by Dmitri I Panyushev

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
165 KB
Volume
212
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

On the Orbit Method for the Lie Algebra
On the Orbit Method for the Lie Algebra of Vector Fields on a Curve
✍ Rosane Ushirobira πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 326 KB

Let α’„ be the Lie algebra of vector fields on an affine smooth curve ⌺. Our goal is to establish an orbit method for α’„. Since α’„ is infinite-dimensional, we face some technical problems. Without having groups acting on α’„, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti