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Invariants of simple algebras

✍ Scribed by Sanghoon Baek; Alexander S. Merkurjev

Publisher: Springer
Year: 2009
Tongue: English
Weight: 187 KB
Volume: 129
Category: Article
ISSN: 0025-2611
DOI: 10.1007/s00229-009-0265-4

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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