The Bala-Carter Classification of Nilpotent Orbits of Semisimple Lie Algebras

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Title: The Bala-Carter Classification of Nilpotent Orbits of Semisimple Lie Algebras
Authors: Rakotoarisoa, Andriamananjara Tantely
Date: 2017
Abstract: 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.
URL: http://hdl.handle.net/10393/36058
http://dx.doi.org/10.20381/ruor-20338
CollectionThèses, 2011 - // Theses, 2011 -
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