## 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
On the derivation algebras of Lie module triple systems
β Scribed by Nora C Hopkins
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 427 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Lie triple system T over a field F of characteristic zero. It turns out that it contains nontrivial elements if and only if T is related to a simple Jordan algebra. In particular this provides a new proof of the determination by Laquer of the invariant affine connections in the simply connected com
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
Realizations of the generators of the SO ( 3 ) and SO( 2,1) Lie algebras are derived systematically using only the basic commutation relations.
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