Abstract
In this paper we give a classification of a certain class of semisimple symplectic structures, more precisely all symplectic structures Ω for which a symplectic module (V,Ω) is of convex type. This classification then leads to a classification of Lie algebras with invariant cones and at most one dimensional center.
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Neumann, A. The Classification of Symplectic Structures of Convex Type. Geometriae Dedicata 79, 299–320 (2000). https://doi.org/10.1023/A:1005260629187
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DOI: https://doi.org/10.1023/A:1005260629187