Jordan triples and Riemannian symmetric spaces

• Autores: Cho-Ho Chu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 6, 2008, págs. 2029-2057
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.08.001
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• Resumen

  • We introduce a class of real Jordan triple systems, called JH-triples, and show, via the Tits�Kantor�Koecher construction of Lie algebras, that they correspond to a class of Riemannian symmetric spaces including the Hermitian symmetric spaces and the symmetric R-spaces.