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Robert M. Fossum Haboush, William J. Murphy, David Charles 2015-09-28T15:19:48Z 2015-09-28T15:19:48Z 10000-01-01 2004 2004 We classify embeddings of algebraic groups as open orbits in affine varieties, generalizing results from toric geometry to connected reductive groups. In particular, we show that an embedding is determined by the set of one-parameter subgroups that have a limit in the embedding. We then investigate the structure of such sets of one-parameter subgroups and how their properties reflect properties of the associated embedding. Made available in DSpace on 2015-09-28T15:19:48Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3153387.pdf: 3817770 bytes, checksum: 196ea7efeec39163c76a46a919178b86 (MD5) Previous issue date: 2004 Embargo set by: Seth Robbins for item 88122 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 71 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004. http://hdl.handle.net/2142/86841 (MiAaPQ)AAI3153387 eng Mathematics Equivariant Embeddings of Algebraic Groups text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.