The Bala-Carter Classification of Nilpotent Orbits of Semisimple Lie Algebras
Conjugacy classes of nilpotent elements in complex semisimple Lie algebras are classified using the Bala-Carter theory. In this theory, nilpotent orbits in g are parametrized by the conjugacy classes of pairs (l,pl) of Levi subalgebras of g and distinguished parabolic subalgebras of [l,l]. In this t...
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| Language: | en |
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Université d'Ottawa / University of Ottawa
2017
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| Online Access: | http://hdl.handle.net/10393/36058 http://dx.doi.org/10.20381/ruor-20338 |
| Summary: | Conjugacy classes of nilpotent elements in complex semisimple Lie algebras are classified using the Bala-Carter theory. In this theory, nilpotent orbits in g are parametrized by the conjugacy classes of pairs (l,pl) of Levi subalgebras of g and distinguished parabolic subalgebras of [l,l]. In this thesis we present this theory and use it to give a list of representatives for nilpotent orbits in so(8) and from there we give a partition-type parametrization of them. |
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