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. === 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...
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| Format: | Others |
| Language: | English |
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Massachusetts Institute of Technology
2012
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| Online Access: | http://hdl.handle.net/1721.1/73443 |
| Summary: | 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. |
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