Geodesic
Metric Symplectic Lie Algebras
Mathias Fischer1
1Institut für Mathematik und Informatik, Walther-Rathenau-Strasse 47, 17487 Greifswald, Germany
Journal of Lie Theory, Tome 29 (2019) no. 1, pp. 191-220

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Mathias Fischer  1

1 Institut für Mathematik und Informatik, Walther-Rathenau-Strasse 47, 17487 Greifswald, Germany 
Mathias Fischer. Metric Symplectic Lie Algebras. Journal of Lie Theory, Tome 29 (2019) no. 1, pp. 191-220. http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a7/
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     title = {Metric {Symplectic} {Lie} {Algebras}},
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     year = {2019},
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     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_1_a7/}
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