Displaying similar documents to “Graded radical W type Lie algebras. I.”

Uniquely covered radical classes of ℓ -groups

Y. Zhang, Y. Wang (2001)

Czechoslovak Mathematical Journal

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It is proved that a radical class σ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some σ -complement radical class and the big atom over σ .

Projective reparametrization of homogeneous curves

Boris Doubrov (2005)

Archivum Mathematicum

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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.