Geodesic
Left-Symmetric Products on Cosymplectic Lie Algebras
Journal of Lie theory, Tome 34 (2024) no. 2, pp. 249-265
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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.
Classification : 3D15, 22E25
Mots-clés : Cosymplectic structures, left-symmetric product, double extensions 
@article{JLT_2024_34_2_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a0/}
}
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  - http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a0/
ID  - JLT_2024_34_2_JLT_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 http://geodesic.mathdoc.fr/item/JLT_2024_34_2_JLT_2024_34_2_a0/
%F JLT_2024_34_2_JLT_2024_34_2_a0
S. El Bourkadi; M. 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/JLT_2024_34_2_JLT_2024_34_2_a0/