A new proof of the $J^2$-condition for real rank one simple Lie algebras and their classification

DOI10.1090/S0002-9939-04-07725-1zbMath1091.17005OpenAlexW1580834525WikidataQ125371584 ScholiaQ125371584MaRDI QIDQ4654106

Paolo Ciatti

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07725-1

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Rigidity of 2-step Carnot groups ⋮ Algebraic prolongation and rigidity of Carnot groups ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ On derivations of subalgebras of real semisimple Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric properties of Heisenberg-type groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• \(H\)-type groups and Iwasawa decompositions
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

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