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Fixed points subgroups by two involutive automorphisms \(\gamma,\gamma'\) of compact exceptional Lie groups \(G_2,F_4,E_6\) and \(E_7\). (English) Zbl 1145.22002
The authors consider the connected compact exceptional Lie groups \(G= G_2,F_4, E_6,E_7\), two involutions \(\gamma\), \(\gamma'\) and the fixed point subgroups \(G^\gamma\), \(G^{\gamma'}\).
The aim of the paper is to determine the structure group \(G^{\gamma,\gamma'}= G^\gamma\cap G^{\gamma'}\).
Reviewer: A. Neagu (Iaşi)

MSC:
22E15 General properties and structure of real Lie groups
17A35 Nonassociative division algebras
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