Geodesic
Metric Symplectic Lie Algebras
Journal of Lie theory, Tome 29 (2019) no. 1, pp. 191-22
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

It is shown that any metric symplectic Lie algebra has the structure of a quadratic extension. A standard model for such extensions is proposed, and the equivalence classes at the level of the quadratic cohomology sets is given. Further, a classification scheme for metric symplectic Lie algebras is provided, as well as an explicit list of isomorphism classes for some special types.
Classification : 53C35, 53D20, 17B30
Mots-clés : Metric Lie algebra, symplectic Lie algebra, symmetric space 
@article{JLT_2019_29_1_JLT_2019_29_1_a7,
     author = {M. Fischer},
     title = {Metric {Symplectic} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {191--22},
     year = {2019},
     volume = {29},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_1_JLT_2019_29_1_a7/}
}
TY  - JOUR
AU  - M. Fischer
TI  - Metric Symplectic Lie Algebras
JO  - Journal of Lie theory
PY  - 2019
SP  - 191
EP  - 22
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JLT_2019_29_1_JLT_2019_29_1_a7/
ID  - JLT_2019_29_1_JLT_2019_29_1_a7
ER  - 
%0 Journal Article
%A M. Fischer
%T Metric Symplectic Lie Algebras
%J Journal of Lie theory
%D 2019
%P 191-22
%V 29
%N 1
%U http://geodesic.mathdoc.fr/item/JLT_2019_29_1_JLT_2019_29_1_a7/
%F JLT_2019_29_1_JLT_2019_29_1_a7
M. Fischer. Metric Symplectic Lie Algebras. Journal of Lie theory, Tome 29 (2019) no. 1, pp. 191-22. http://geodesic.mathdoc.fr/item/JLT_2019_29_1_JLT_2019_29_1_a7/