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Embeddings of homogeneous spaces into irreducible modules

Ivan V. Losev
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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

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Ivan V. Losev. 2007-09-05. Embeddings of homogeneous spaces into irreducible modules. https://arxiv.org/abs/math/0606387

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