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Metric Symplectic Lie Algebras
Published 12 Sep 2016 in math.DG | (1609.03311v1)
Abstract: Every metric symplectic Lie algebra has the structure of a quadratic extension. We give a standard model and describe the equivalence classes on the level of corresponding quadratic cohomology sets. Finally, we give a scheme to classify the isomorphism classes of metric symplectic Lie algebras and give a complete list of all these Lie algebras in special cases.
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