Embeddings of homogeneous spaces into irreducible modules

Details Embeddings of homogeneous spaces into irreducible modules Embeddings of homogeneous spaces into irreducible modules

2006-06-16

arxiv.org/abs/math/0606387v3

J. Algebra 322 (2009), 2621-2630

Mathematics

Representation Theory

v2 8 pages, a gap in the proof is corrected, some examples are added v3 new theorem answering whether there is a closed embedd

Scientific paper

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

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