We prove some properties of the cosymplectic Lie algebras and show, in particular, that they support a left-invariant product. We also provide some methods to construct these algebras and classify them in dimensions three and five. These constructions provide a large class of left-symmetric algebras in odd dimensions.
1
Dept. of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco
Said El Bourkadi; Mohammed W. Mansouri. Left-Symmetric Products on Cosymplectic Lie Algebras. Journal of Lie Theory, Tome 34 (2024) no. 2, pp. 249-265. http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a0/
@article{JOLT_2024_34_2_a0,
author = {Said El Bourkadi and Mohammed W. Mansouri},
title = {Left-Symmetric {Products} on {Cosymplectic} {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {249--265},
year = {2024},
volume = {34},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a0/}
}
TY - JOUR
AU - Said El Bourkadi
AU - Mohammed W. Mansouri
TI - Left-Symmetric Products on Cosymplectic Lie Algebras
JO - Journal of Lie Theory
PY - 2024
SP - 249
EP - 265
VL - 34
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a0/
ID - JOLT_2024_34_2_a0
ER -
%0 Journal Article
%A Said El Bourkadi
%A Mohammed W. Mansouri
%T Left-Symmetric Products on Cosymplectic Lie Algebras
%J Journal of Lie Theory
%D 2024
%P 249-265
%V 34
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a0/
%F JOLT_2024_34_2_a0
