On Lie algebras with only inner derivations
β Scribed by Ernest L Stitzinger
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 165 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove the following two improvements of a result of BECKER. (1) If A is a pro-C\*-algebra, then every derivation on A is approximately inner. (2) If A is a separable a-C\*-algebra, and ifevery C\* quotient of A has the property that every derivation on it is inner, then also every derivation on A
## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π into an πβbimodule β³οΈ. We show that if β³οΈ is a weak\* closed operator algebra containing π then there are an element __S__ β β³οΈ and a linear functional __f__ on π such that __Ξ΄__ (__A__) = __SA__ β __AS__ + __f__ (__A__)__I__ fo
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