Embeddings of homogeneous spaces into irreducible modules
Name
Losev-2009-Embeddings of homoge.pdf
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200.85 KB
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Checksum (MD5)
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Author(s)
Losev, Ivan
Date Issued
August 2009
Journal
Journal of Algebra
Publisher
Elsevier
Citation
Losev, Ivan. “Embeddings of Homogeneous Spaces into Irreducible Modules.” Journal of Algebra 322, no. 8 (October 2009): 2621–2630. © 2009 Elsevier Inc.
Version
Final published version
Abstract
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].
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1016/j.jalgebra.2009.07.022
