Journal of Lie Theory

no. 1
Metric Symplectic Lie Algebras
Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 191-220
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.
DOI: 10.5802/jolt.1053
Classification: 53C35, 53D20, 17B30
Keywords: Metric Lie algebra, symplectic Lie algebra, symmetric space 
@article{JOLT_2019_29_1_a7,
     author = {M. Fischer},
     title = {Metric {Symplectic} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {191--220},
     year = {2019},
     volume = {29},
     number = {1},
     doi = {10.5802/jolt.1053},
     zbl = {1439.53052},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1053/}
}
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M. Fischer. Metric Symplectic Lie Algebras. Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 191-220. doi: 10.5802/jolt.1053

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