MIT Libraries homeMIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Embeddings of homogeneous spaces into irreducible modules

Author(s)
Losev, Ivan
Thumbnail
DownloadLosev-2009-Embeddings of homoge.pdf (200.8Kb)
PUBLISHER_POLICY

Publisher Policy

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.

Terms of use
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.
Metadata
Show full item record
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].
Date issued
2009-08
URI
http://hdl.handle.net/1721.1/96284
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
00218693

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries homeMIT Libraries logo

Find us on

Twitter Facebook Instagram YouTube RSS

MIT Libraries navigation

SearchHours & locationsBorrow & requestResearch supportAbout us
PrivacyPermissionsAccessibility
MIT
Massachusetts Institute of Technology
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.