On a fundamental theorem of Weyl in the theory of compact Lie groups (Q5935906)
From MaRDI portal
scientific article; zbMATH DE number 1611989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a fundamental theorem of Weyl in the theory of compact Lie groups |
scientific article; zbMATH DE number 1611989 |
Statements
On a fundamental theorem of Weyl in the theory of compact Lie groups (English)
0 references
28 June 2001
0 references
In this paper the author gives a new proof of the following fundamental Weyl's theorem: Let \(G\) be a compact connected Lie group and \(T\) be a maximal torus of \(G\). Then (1) \(Z_G(T) = T\). (2) \(G = \bigcup_{g \in G} g^{-1}Tg\).
0 references
compact connected Lie group
0 references
