Embeddings of homogeneous spaces into irreducible modules
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Let G be a connected reductive algebraic group. We find a necessary and sufficient condition for a quasi-affine homogeneous space [G over H] to have an embedding into an irreducible G-module. For reductive H we also find a necessary and sufficient condition for a closed embedding of [G over H] into an irreducible module to exist. These conditions are stated in terms of the group of central automorphisms of [G over H].
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Algebra
Losev, Ivan. “Embeddings of Homogeneous Spaces into Irreducible Modules.” Journal of Algebra 322, no. 8 (October 2009): 2621–2630. © 2009 Elsevier Inc.
Final published version