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Characterization of finite dimensionality for semi-simple Banach algebras

โœ Scribed by Abdullah H. Al-Moajil


Publisher
Springer
Year
1981
Tongue
English
Weight
369 KB
Volume
33
Category
Article
ISSN
0025-2611

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โœ Philippe Caldero ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 240 KB

Let g be a finite dimensional semi-simple Lie algebra, U(g) its enveloping algebra, and H a finite subgroup of Aut U(g). Let A be the invariant algebra U H . In this article, we prove that the Lie algebra g is given (up to an isomorphism) by the algebra A. If we impose that H is a finite subgroup of