Abstract
The automorphism group Aut(X) of a complex space X, equipped with a natural topology, is a topological group. Our goal in this chapter is to show that there are two important classes of complex spaces, for which Aut(X) has a Lie group structure compatible with its topology. The first class consists of all (not necessarily reduced) compact spaces, the second one is the class of all bounded domains in ℂn.
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© 1995 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Akhiezer, D.N. (1995). Automorphism Groups. In: Lie Group Actions in Complex Analysis. Aspects of Mathematics, vol 27. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-80267-5_3
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DOI: https://doi.org/10.1007/978-3-322-80267-5_3
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-80269-9
Online ISBN: 978-3-322-80267-5
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