A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012.
Main Author: | |
---|---|
Other Authors: | |
Format: | Thesis |
Language: | eng |
Published: |
Massachusetts Institute of Technology
2012
|
Subjects: | |
Online Access: | http://hdl.handle.net/1721.1/73443 |
_version_ | 1811080074726735872 |
---|---|
author | Speh, Peter (Peter Daniel) |
author2 | David Vogan. |
author_facet | David Vogan. Speh, Peter (Peter Daniel) |
author_sort | Speh, Peter (Peter Daniel) |
collection | MIT |
description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012. |
first_indexed | 2024-09-23T11:25:21Z |
format | Thesis |
id | mit-1721.1/73443 |
institution | Massachusetts Institute of Technology |
language | eng |
last_indexed | 2024-09-23T11:25:21Z |
publishDate | 2012 |
publisher | Massachusetts Institute of Technology |
record_format | dspace |
spelling | mit-1721.1/734432019-04-11T02:21:13Z A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits Speh, Peter (Peter Daniel) David Vogan. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012. Cataloged from PDF version of thesis. Includes bibliographical references (p. 83). Let g be a complex, reductive Lie algebra. We prove a theorem parametrizing the set of nilpotent orbits in g in terms of even nilpotent orbits of subalgebras of g and show how to determine these subalgebras and how to explicitly compute this correspondence. We prove a theorem parametrizing nilpotent orbits for strong involutions of G in terms of even nilpotent orbits of complex subalgebras of g and show how to explicitly compute this correspondence. by Peter Speh. Ph.D. 2012-09-27T18:12:54Z 2012-09-27T18:12:54Z 2012 2012 Thesis http://hdl.handle.net/1721.1/73443 809691034 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 83 p. application/pdf Massachusetts Institute of Technology |
spellingShingle | Mathematics. Speh, Peter (Peter Daniel) A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
title | A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
title_full | A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
title_fullStr | A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
title_full_unstemmed | A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
title_short | A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
title_sort | classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits |
topic | Mathematics. |
url | http://hdl.handle.net/1721.1/73443 |
work_keys_str_mv | AT spehpeterpeterdaniel aclassificationofrealandcomplexnilpotentorbitsofreductivegroupsintermsofcomplexevennilpotentorbits AT spehpeterpeterdaniel classificationofrealandcomplexnilpotentorbitsofreductivegroupsintermsofcomplexevennilpotentorbits |