Geodesic
Derivation extensions on Leibniz triple systems
Filomat, Tome 37 (2023) no. 23, p. 7905

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we first define a concrete representation on an abelian extension of a Leibniz triple system L by a Leibniz triple system A. Using this new representation we construct the third-order cohomology classes by derivations of A and L, which characterize the splitting property of above abelian extensions. Then we study the obstruction for extensibility of derivation pairs. We prove that the set of compatible derivation pairs can define a Lie algebra, whose representation can also characterize the extensibility of the compatible derivation pairs.
DOI : 10.2298/FIL2323905W
Classification : 17A32, 17A40, 17B40, 17B56
Keywords: Leibniz triple system, cohomology, derivation, abelian extension 
Xueru Wu; Liangyun Chen; Yao Ma. Derivation extensions on Leibniz triple systems. Filomat, Tome 37 (2023) no. 23, p. 7905 . doi: 10.2298/FIL2323905W
@article{10_2298_FIL2323905W,
     author = {Xueru Wu and Liangyun Chen and Yao Ma},
     title = {Derivation extensions on {Leibniz} triple systems},
     journal = {Filomat},
     pages = {7905 },
     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323905W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323905W/}
}
TY  - JOUR
AU  - Xueru Wu
AU  - Liangyun Chen
AU  - Yao Ma
TI  - Derivation extensions on Leibniz triple systems
JO  - Filomat
PY  - 2023
SP  - 7905 
VL  - 37
IS  - 23
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2323905W/
DO  - 10.2298/FIL2323905W
LA  - en
ID  - 10_2298_FIL2323905W
ER  - 
%0 Journal Article
%A Xueru Wu
%A Liangyun Chen
%A Yao Ma
%T Derivation extensions on Leibniz triple systems
%J Filomat
%D 2023
%P 7905 
%V 37
%N 23
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2323905W/
%R 10.2298/FIL2323905W
%G en
%F 10_2298_FIL2323905W

Cité par Sources :