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Proceedings of the American Mathematical Society

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Cartan algebras and involutions


Author: Karlheinz Spindler
Journal: Proc. Amer. Math. Soc. 121 (1994), 323-333
MSC: Primary 17B05
DOI: https://doi.org/10.1090/S0002-9939-1994-1169049-5
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.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1994-1169049-5
Article copyright: © Copyright 1994 American Mathematical Society

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