Generalized Derivations of Lie Algebras
β Scribed by George F. Leger; Eugene M. Luks
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 258 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
166 leger and luks some applications of the main results to the study of functions f β Hom L L such that f β’ Β΅ or Β΅ β’ f β§ I L defines a Lie multiplication.
π SIMILAR VOLUMES
## 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
We observe that any finite-dimensional indecomposable module for a restricted Lie algebra over an algebraically closed field is a module for a finite-dimensional quotient of the universal enveloping algebra. These algebras form a two-parameter family which generalizes the notion of a reduced envelop