Paramétrisation d'orbites dans les nappes de Dixmier admissibles
Parametrisierung von Konjugationsklassen in sln.
Prehomogeneous spaces associated with nilpotent orbits in simple real Lie algebras and and their relative invariants.
Projective reparametrization of homogeneous curves
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.
Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture.
Proof of Verma's Conjecture on Weyl's Dimension Polynomial.
Properties of a 29-Dimensional Simple Lie Algebra of Characteristics Three.
Prym-Tjurin varieties and the Hitchin map.