Abstract
The Borel-Weil Theorem gives a geometric realization of each irreducible representation of a compact connected semisimple Lie group G. Equivalently, this is a realization of each irreducible holomorphic representation of the complexification Gℂ of G. The realization is in the space of holomorphic sections of a holomorphic line bundle over the flag variety of G.
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© 2006 Birkhäuser Boston
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(2006). A Generalized Bott-Borel-Weil Theorem. In: Dirac Operators in Representation Theory. Mathematics: Theory & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4493-2_4
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DOI: https://doi.org/10.1007/978-0-8176-4493-2_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3218-2
Online ISBN: 978-0-8176-4493-2
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