Generalized derivations of Lie triple systems

• Autorzy: Jia Zhou , Liangyun Chen , Yao Ma
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Generalized derivations; Quasiderivations; Centroids

Kategorie tematyczne

• 16W25: Derivations, actions of Lie algebras
• 17B40: Automorphisms, derivations, other operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 260-271

Daty

wydano

2016-01-01

otrzymano

2015-10-17

zaakceptowano

2016-04-01

online

2016-04-29

Twórcy

autor

Jia Zhou

• College of Information Technology, Jilin Agricultural University, Changchun, 130118,

autor

Liangyun Chen

• Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024,

autor

Yao Ma

• School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026,

Identyfikatory

DOI

10.1515/math-2016-0024