Rakotoarisoa, Andriamananjara Tantely2017-05-092017-05-092017http://hdl.handle.net/10393/36058http://dx.doi.org/10.20381/ruor-20338Conjugacy 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.enLieAlgebrasRepresentationTheoryNilpotentOrbitsBala-CarterDynkinThesis