Cartan algebras and involutions
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- by Karlheinz Spindler
- Proc. Amer. Math. Soc. 121 (1994), 323-333
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169049-5
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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
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Bibliographic Information
- © Copyright 1994 American Mathematical Society
- 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