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Branching laws for shared orbit pairs of simple Lie algebras

Authors Wong, Daniel Siu-fai
Issue Date 1995
Summary Let G be a connected and simply connected complex simple Lie group and H be a subgroup of G. Denote by g and h for their respective Lie algebras. We may use Killing form to identify coadjoint orbits with adjoint orbits. Brylinski and Kostant classified all simple Lie algebra pairs which share adjoint orbits[5]. We derive branching laws for these pairs which say how irreducible nth Cartan power of the acljoint representation of G decompose over H by using the famous Borel-Weil Theorem.
Note Thesis (M.Phil.)--Hong Kong University of Science and Technology, 1995
Language English
Format Thesis
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