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Keywords:
homogeneous submanifold; symmetry algebra; nilpotent elements; $sl_2$-tripple
homogeneous submanifold; symmetry algebra; nilpotent elements; $sl_2$-tripple
Summary:
We study the conditions when locally homogeneous curves in homogeneous spaces admit a natural projective parameter. In particular, we prove that this is always the case for trajectories of homogeneous nilpotent elements in parabolic spaces. On algebraic level this corresponds to the generalization of Morozov–Jacobson theorem to graded semisimple Lie algebras.
References:
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