Finite order automorphisms on real simple Lie algebras

Chuah, Meng-Kiat

doi:10.1090/S0002-9947-2012-05604-2

Finite order automorphisms on real simple Lie algebras
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by Meng-Kiat Chuah

Trans. Amer. Math. Soc. 364 (2012), 3715-3749

DOI: https://doi.org/10.1090/S0002-9947-2012-05604-2

Published electronically: February 15, 2012

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Abstract:

We add extra data to the affine Dynkin diagrams to classify all the finite order automorphisms on real simple Lie algebras. As applications, we study the extensions of automorphisms on the maximal compact subalgebras and also study the fixed point sets of automorphisms.

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