Journal of Lie Theory

no. 2
Left-Symmetric Products on Cosymplectic Lie Algebras
Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 249-265
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.
DOI: 10.5802/jolt.1335
Classification: 3D15, 22E25
Keywords: Cosymplectic structures, left-symmetric product, double extensions 
@article{JOLT_2024_34_2_a0,
     author = {S. El Bourkadi and M. W. Mansouri},
     title = {Left-Symmetric {Products} on {Cosymplectic} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {249--265},
     year = {2024},
     volume = {34},
     number = {2},
     doi = {10.5802/jolt.1335},
     zbl = {1552.17006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1335/}
}
TY  - JOUR
AU  - S. El Bourkadi
AU  - M. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1335/
DO  - 10.5802/jolt.1335
ID  - JOLT_2024_34_2_a0
ER  - 
%0 Journal Article
%A S. El Bourkadi
%A M. 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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.1335/
%R 10.5802/jolt.1335
%F JOLT_2024_34_2_a0
S. El Bourkadi; M. W. Mansouri. Left-Symmetric Products on Cosymplectic Lie Algebras. Journal of Lie Theory, Volume 34 (2024) no. 2, pp. 249-265. doi: 10.5802/jolt.1335

Cited by Sources: