Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\). (English) Zbl 0732.22002
Let \(\sigma\) be an automorphism of a Lie group G and \(G^{\sigma}\) the fixed points of \(\sigma\). The aim of this paper is to determine the group structure of \(G^{\sigma}\) for the Lie groups of type \(G_ 2\), \(F_ 4\) and \(E_ 6\).
Reviewer: A.Neagu (Iaşi)
MSC:
| 22E10 | General properties and structure of complex Lie groups |
| 17B25 | Exceptional (super)algebras |
| 22D45 | Automorphism groups of locally compact groups |
