arXiv:math/0606387 Abstract

arXiv:math/0606387 [math.RT]Abstract References Reviews Resources

Embeddings of homogeneous spaces into irreducible modules

Published 2006-06-16, updated 2007-09-05Version 3

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

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

Journal: J. Algebra 322 (2009), 2621-2630

Categories: math.RT, math.AG

Subjects: 14M17, 14R20

Keywords: irreducible modules, quasiaffine homogeneous space, sufficient condition, connected reductive group

Tags: journal article

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