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

FieldValue
dc.contributor.authorRakotoarisoa, Andriamananjara Tantely
dc.date.accessioned2017-05-09T16:27:37Z
dc.date.available2017-05-09T16:27:37Z
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/10393/36058
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-20338
dc.description.abstractConjugacy 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.
dc.language.isoen
dc.publisherUniversité d'Ottawa / University of Ottawa
dc.subjectLie
dc.subjectAlgebras
dc.subjectRepresentation
dc.subjectTheory
dc.subjectNilpotent
dc.subjectOrbits
dc.subjectBala-Carter
dc.subjectDynkin
dc.titleThe Bala-Carter Classification of Nilpotent Orbits of Semisimple Lie Algebras
dc.typeThesis
dc.contributor.supervisorNevins, Monica
thesis.degree.nameMSc
thesis.degree.levelMasters
thesis.degree.disciplineSciences / Science
uottawa.departmentMathématiques et statistique / Mathematics and Statistics
CollectionThèses, 2011 - // Theses, 2011 -

Files