Generalized derivations of Lie triple systems

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 determin...

Full description

Bibliographic Details
Main Authors:	Zhou Jia, Chen Liangyun, Ma Yao
Format:	Article
Language:	English
Published:	De Gruyter 2016-01-01
Series:	Open Mathematics
Subjects:	generalized derivations quasiderivations centroids 16w25 17b40
Online Access:	https://doi.org/10.1515/math-2016-0024

id	doaj-9cd9c243ceb44beb94954919e8f1484c
record_format	Article
spelling	doaj-9cd9c243ceb44beb94954919e8f1484c2021-09-06T19:20:07ZengDe GruyterOpen Mathematics2391-54552016-01-0114126027110.1515/math-2016-0024math-2016-0024Generalized derivations of Lie triple systemsZhou JiaChen Liangyun0Ma Yao1Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, ChinaSchool of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, ChinaIn 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.https://doi.org/10.1515/math-2016-0024generalized derivationsquasiderivationscentroids16w2517b40
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhou Jia Chen Liangyun Ma Yao
spellingShingle	Zhou Jia Chen Liangyun Ma Yao Generalized derivations of Lie triple systems Open Mathematics generalized derivations quasiderivations centroids 16w25 17b40
author_facet	Zhou Jia Chen Liangyun Ma Yao
author_sort	Zhou Jia
title	Generalized derivations of Lie triple systems
title_short	Generalized derivations of Lie triple systems
title_full	Generalized derivations of Lie triple systems
title_fullStr	Generalized derivations of Lie triple systems
title_full_unstemmed	Generalized derivations of Lie triple systems
title_sort	generalized derivations of lie triple systems
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2016-01-01
description	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.
topic	generalized derivations quasiderivations centroids 16w25 17b40
url	https://doi.org/10.1515/math-2016-0024
work_keys_str_mv	AT zhoujia generalizedderivationsoflietriplesystems AT chenliangyun generalizedderivationsoflietriplesystems AT mayao generalizedderivationsoflietriplesystems
_version_	1717777308716105728

Generalized derivations of Lie triple systems

Similar Items