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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cartan algebras and involutions


Author: Karlheinz Spindler
Journal: Proc. Amer. Math. Soc. 121 (1994), 323-333
MSC: Primary 17B05
MathSciNet review: 1169049
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Abstract: We identify Cartan algebras in certain semidirect products and prove that every involution of a real Lie algebra leaves invariant some Cartan algebra. Moreover, we establish the adaptability of invariant Cartan algebras and invariant Levi decompositions and prove some conjugacy theorems for invariant Cartan algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1169049-5
PII: S 0002-9939(1994)1169049-5
Article copyright: © Copyright 1994 American Mathematical Society