A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits

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.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Mathematics.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2012

Author dc:creator

• Speh, Peter (Peter Daniel)

Advisor dc:contributor.advisor

• David Vogan.

• Mathematics.

Statement dc:rights

• 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.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/73443

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/73443