关于阿贝尔亲李群的副积的简短说明

Monatshefte für Mathematik Pub Date : 2023-11-19 DOI:10.1007/s00605-023-01915-1

Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo

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引用次数: 0

摘要

在阿贝尔亲李群的范畴中，引入了阿贝尔亲李群族的条件余积的概念。证明了任意一族阿贝尔亲李群的笛卡儿积可以用条件副积的全称性质来表征。

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A short note on coproducts of Abelian pro-Lie groups

The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the conditional coproduct.

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Monatshefte für Mathematik

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