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https://hdl.handle.net/2142/86841
Description
Title
Equivariant Embeddings of Algebraic Groups
Author(s)
Murphy, David Charles
Issue Date
2004
Doctoral Committee Chair(s)
Robert M. Fossum
Haboush, William J.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
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