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This article is cited in 1 scientific paper (total in 1 paper)
The structure of the linearizer of a connected complex Lie group
O. Yu. Aristov
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 ${\Bbb C}^\times$, 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.
Keywords:
complex Lie group, linearizer, Morimoto subgroup.
Received: 04.04.2022 Revised: 29.11.2022 Accepted: 10.01.2023
Citation:
O. Yu. Aristov, “The structure of the linearizer of a connected complex Lie group”, Sibirsk. Mat. Zh., 64:2 (2023), 276–280; Siberian Math. J., 64:2 (2023), 287–290
Linking options:
https://www.mathnet.ru/eng/smj7760 https://www.mathnet.ru/eng/smj/v64/i2/p276
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