Projective reparametrization of homogeneous curves
Doubrov, Boris
Archivum Mathematicum, Tome 041 (2005), p. 129-133 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2005-01-01
Classification:  17B20,  17B70,  53C30 
@article{107941,
     author = {Boris Doubrov},
     title = {Projective reparametrization of homogeneous curves},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {129-133},
     zbl = {1122.53029},
     mrnumber = {2142149},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107941}
}

Doubrov, Boris. Projective reparametrization of homogeneous curves. Archivum Mathematicum, Tome 041 (2005) pp. 129-133. http://gdmltest.u-ga.fr/item/107941/

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