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December 2007 The Intersection of Fixed Point Subgroups by Involutive Automorphisms of Compact Exceptional Lie Groups
Toshikazu MIYASHITA
Tokyo J. Math. 30(2): 455-463 (December 2007). DOI: 10.3836/tjm/1202136688

Abstract

In this paper we treat the intersection of fixed point subgroups by the involutive automorphisms of exceptional Lie group $G = F_4, E_6, E_7$. We shall find involutive automorphisms of $G$ such that the connected component of the intersection of those fixed point subgroups coincides with the maximal torus of $G$.

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Toshikazu MIYASHITA. "The Intersection of Fixed Point Subgroups by Involutive Automorphisms of Compact Exceptional Lie Groups." Tokyo J. Math. 30 (2) 455 - 463, December 2007. https://doi.org/10.3836/tjm/1202136688

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1151.22017
MathSciNet: MR2376521
Digital Object Identifier: 10.3836/tjm/1202136688

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

Vol.30 • No. 2 • December 2007
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