Globalization of Holomorphic Actions on
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Bruce Gilligan; Peter Heinzner
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Article
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1998
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John Wiley and Sons
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English
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Suppose G is a Lie group acting as a group of holomorphic automorphisms on a holomorphic principal bundle P --t X . We show that if there is a holomorphic action of the complexification GC of G on X , this lifts to a holomorphic action of GC on the bundle P --t X . Two applications are presented. We