Embeddings of homogeneous spaces into irreducible modules
Representation Theory
2010-06-03 v3 Algebraic Geometry
Abstract
Let be a connected reductive group. We find a necessary and sufficient condition for a quasiaffine homogeneous space of to be embeddable into an irreducible -module. In addition, for an affine homogeneous space we find a criterium for a closed embedding to exist
Cite
@article{arxiv.math/0606387,
title = {Embeddings of homogeneous spaces into irreducible modules},
author = {Ivan V. Losev},
journal= {arXiv preprint arXiv:math/0606387},
year = {2010}
}
Comments
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