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classified involutive automorphisms of simple Lie algebras g and determined the type of the subalgebras g^ of fixed points. Now for connected exceptional universal linear Lie groups G, we shall find involutive automorphisms and realize the subgroups G^ of fixed points explicitly. In this paper we consider the cases of type G₂, F₄ and E₆. Our results are as follows. (Results of E₇ will be soon appeared in this Journal).
Ichiro Yokota (Fri,) studied this question.