# Generalized derivations of Lie triple systems

Jia Zhou; Liangyun Chen; Yao Ma

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 260-271
- ISSN: 2391-5455

## Access Full Article

top## Abstract

top## How to cite

topJia 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.