Indecomposable seaweed subalgebras of complex simple Lie algebras have vanishing adjoint cohomology and are absolutely rigid; decomposable ones have cohomology determined solely by their center via the Coll-Gerstenhaber decomposition.
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Rigidity and Cohomology of Seaweed Lie Algebras
Indecomposable seaweed subalgebras of complex simple Lie algebras have vanishing adjoint cohomology and are absolutely rigid; decomposable ones have cohomology determined solely by their center via the Coll-Gerstenhaber decomposition.