Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 17B05

Retrieve articles in all journals with MSC: 17B05

Additional Information

PII: S 0002-9939(1994)1169049-5
Article copyright: © Copyright 1994 American Mathematical Society