In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆ End (T). Furthermore, we completely determine those Lie triple systems T with condition QDer (T) = End (T). We also show that the quasiderivations of T can be embedded as derivations in a larger Lie triple system.
@article{bwmeta1.element.doi-10_1515_math-2016-0024,
author = {Jia Zhou and Liangyun Chen and Yao Ma},
title = {Generalized derivations of Lie triple systems},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {260-271},
zbl = {06632356},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0024}
}
Jia Zhou; Liangyun Chen; Yao Ma. Generalized derivations of Lie triple systems. Open Mathematics, Tome 14 (2016) pp. 260-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0024/