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Abstract: We describe simply connected compact exceptional simple Lie groups in veryelementary way. We first construct all simply connected compact exceptional Liegroups G concretely. Next, we find all involutive automorphisms of G, anddetermine the group structures of the fixed points subgroup. They correspond tothe classification of all irreducible compact symmetric spaces of exceptionaltype, and that they also correspond to classification of all non-compactexceptionalsimple Lie groups. Finally, we determined the group structures ofthe maximal subgroups of maximal rank. At any rate, we would like this book tobe used in mathematics and physics.

Author: Ichiro Yokota

Source: https://arxiv.org/

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