A new proof of the $J^2$-condition for real rank one simple Lie algebras and their classification
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Abstract:
In this paper a new purely algebraic proof of the $J^2$-condition for the nilpotent Iwasawa algebras in real rank one simple Lie algebras is presented, yielding the classification of real rank one simple Lie algebras.References
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Additional Information
- Paolo Ciatti
- Affiliation: Dipartimento Metodi e Modelli Matematici, Università di Padova, via Belzoni 7, Padova, Italy
- Email: ciatti@dmsa.unipd.it
- Received by editor(s): January 3, 2001
- Received by editor(s) in revised form: September 24, 2001, and February 24, 2004
- Published electronically: December 31, 2004
- Communicated by: Dan M. Barbasch
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 1611-1616
- MSC (2000): Primary 17B20
- DOI: https://doi.org/10.1090/S0002-9939-04-07725-1
- MathSciNet review: 2120265