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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Finite order automorphisms on real simple Lie algebras


Author: Meng-Kiat Chuah
Journal: Trans. Amer. Math. Soc. 364 (2012), 3715-3749
MSC (2010): Primary 17B20, 17B22, 17B40, 20B25
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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Additional Information

Meng-Kiat Chuah
Affiliation: Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan
Email: chuah@math.nthu.edu.tw

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05604-2
PII: S 0002-9947(2012)05604-2
Keywords: Real simple Lie algebra, Dynkin diagram, finite order automorphism
Received by editor(s): October 4, 2010
Received by editor(s) in revised form: January 4, 2011
Published electronically: February 15, 2012
Additional Notes: This work was supported in part by the National Science Council of Taiwan
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.