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- W96303707 abstract "The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (Theorem of the Highest Weight). In this thesis we turn the tables and show that, at least in the case of the classical groups G = U(n), SO(n) and Sp(2n), the Borel-Weil construction can be used to quite explicitly prove existence of an irreducible representation with highest weight λ, for each dominant integral form λ on the Lie algebra of a maximal torus of G." @default.
- W96303707 created "2016-06-24" @default.
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- W96303707 date "2014-01-01" @default.
- W96303707 modified "2023-09-23" @default.
- W96303707 title "A Constructive Proof of the Borel-Weil Theorem for Classical Groups" @default.
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