@article{Wu2022, 
author = {Xueru Wu and Yao Ma and Liangyun Chen},
title = {Abelian extensions of Lie triple systems with derivations},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {3},
pages = {1087-1103},
keywords = {derivation, cohomology, abelian extension, Lie triple system},
url = {https://www.sciopen.com/article/10.3934/era.2022058},
doi = {10.3934/era.2022058},
abstract = {Let  L and  A be Lie triple systems, and let  θA be a representation of  L on  A. We first construct the third-order cohomology classes by derivations of  A and  L, then obtain a Lie algebra  GθA with a representation  Φ on  H3(L,A), where  θA is given by an abelian extension   0⟶A⟶L~→πL⟶0.We study obstruction classes for extensibility of derivations of  A and  L to those of  L~. An application of  Φ is discussed.}
}