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arxiv: math/0606387 · v3 · submitted 2006-06-16 · 🧮 math.RT · math.AG

Embeddings of homogeneous spaces into irreducible modules

classification 🧮 math.RT math.AG
keywords homogeneousfindirreduciblespaceadditionaffineclosedcondition
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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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