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Some remarks on complex Lie groups
Published online by Cambridge University Press: 22 January 2016
Abstract
First we show that any complex Lie group is complete Kähler. Moreover we obtain a plurisubharmonic exhaustion function on a complex Lie group as follows. Let the real Lie algebra of a maximal compact real Lie subgroup K of a complex Lie group G. Put q := dimC
Then we obtain that there exists a plurisubharmonic, strongly (q + 1)-pseudoconvex in the sense of Andreotti-Grauert and K-invariant exhaustion function on G.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2000
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