Generalized derivations of Lie triple systems

Jia Zhou, Liangyun Chen, and Yao Ma. "Generalized derivations of Lie triple systems." Open Mathematics 14.1 (2016): 260-271. <http://eudml.org/doc/277088>.

@article{JiaZhou2016,
abstract = {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.},
author = {Jia Zhou, Liangyun Chen, Yao Ma},
journal = {Open Mathematics},
keywords = {Generalized derivations; Quasiderivations; Centroids; generalized derivations; quasiderivations; centroids},
language = {eng},
number = {1},
pages = {260-271},
title = {Generalized derivations of Lie triple systems},
url = {http://eudml.org/doc/277088},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Jia Zhou
AU - Liangyun Chen
AU - Yao Ma
TI - Generalized derivations of Lie triple systems
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 260
EP - 271
AB - 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.
LA - eng
KW - Generalized derivations; Quasiderivations; Centroids; generalized derivations; quasiderivations; centroids
UR - http://eudml.org/doc/277088
ER -