A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits
Name
809691034-MIT.pdf
Description
Full printable version
Size
2.75 MB
Format
Adobe PDF
Checksum (MD5)
a32c1a6300c4f1f621e8aafee3737815
Author(s)
Speh, Peter (Peter Daniel)
Advisor(s)
David Vogan.
Date Issued
2012
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 83).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
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