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The Polish Lie ring of vector fields on a smooth manifold is algebraically determined

โœ Scribed by Robert R. Kallman; Alexander P. McLinden


Book ID
113933946
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
306 KB
Volume
159
Category
Article
ISSN
0166-8641

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On the Orbit Method for the Lie Algebra
โœ Rosane Ushirobira ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

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