Derivations and structure of the Lie algebras¶of Xu type
✍ Scribed by Yucai Su
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 161 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional locally finite Abelian derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra over an algebraically closed fi
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