The structure of the linearizer of a connected complex Lie group

Abstract

The Morimoto theorem states that each connected abelian complex Lie group $A$ can be decomposed into the direct product of a group on which all holomorphic functions are constant, finitely many copies of ${\mathbb{C}}^{\times }$ and a vector group. We prove that if $A$ is the complex linearizer of a connected complex Lie group then the last factor of the product is trivial.

Version 5, English translation (by Siberian Math. J.), for the Russian text see previous versions

Cited by in corpus (1)

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