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 Title: Equivariant Embeddings of Algebraic Groups Author(s): Murphy, David Charles Doctoral Committee Chair(s): Robert M. Fossum; Haboush, William J. Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: 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. Issue Date: 2004 Type: Text Language: English Description: 71 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004. URI: http://hdl.handle.net/2142/86841 Other Identifier(s): (MiAaPQ)AAI3153387 Date Available in IDEALS: 2015-09-28 Date Deposited: 2004
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