2026-09-19T07:24:16Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/734432022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
David Vogan.
Speh, Peter (Peter Daniel)
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2012-09-27T18:12:54Z
2012-09-27T18:12:54Z
2012
2012
http://hdl.handle.net/1721.1/73443
809691034
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.
83 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
copyright. They may be viewed from this source for any purpose, but
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits
Thesis
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Publication
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<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.</Abstract>
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