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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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