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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois