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Nilradicals of parabolic subalgebras admitting symplectic structures
In this paper we describe all the nilradicals of parabolic subalgebras of
split real simple Lie algebras admitting symplectic structures.
The main tools used to obtain this list are Kostant's description of the
highest weight vectors (hwv) of the cohomology of these nilradicals and some
necessary conditions obtained for the -hwv's of
for a finite dimensional real symplectic nilpotent Lie algebra
with a reductive Lie subalgebra of derivations acting on it
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