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On Some Reflexive Algebras of Operators and the Operator Lie Algebras of Their Derivations

โœ Scribed by Kissin, E. V.


Book ID
120101524
Publisher
Oxford University Press
Year
1984
Tongue
English
Weight
683 KB
Volume
s3-49
Category
Article
ISSN
0024-6115

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Let R be a commutative algebra over a field k. We prove two related results on the simplicity of Lie algebras acting as derivations of R. If D is both a Lie subalgebra and R-submodule of Der k R such that R is D-simple and either char k = 2 or D is not cyclic as an R-module or D R = R, then we show