Embeddings of homogeneous spaces into irreducible modules
Abstract
Let $G$ be a connected reductive group. We find a necessary and sufficient condition for a quasiaffine homogeneous space of $G$ to be embeddable into an irreducible $G$module. In addition, for an affine homogeneous space we find a criterium for a closed embedding to exist
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:math/0606387
 Bibcode:
 2006math......6387L
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Algebraic Geometry;
 14M17;
 14R20
 EPrint:
 v2 8 pages, a gap in the proof is corrected, some examples are added v3 new theorem answering whether there is a closed embedding is added