A new proof of the 𝐽²-condition for real rank one simple Lie algebras and their classification

Ciatti, Paolo

doi:10.1090/S0002-9939-04-07725-1

A new proof of the $J^2$-condition for real rank one simple Lie algebras and their classification
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Proc. Amer. Math. Soc. 133 (2005), 1611-1616 Request permission

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.

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