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Dynkin diagrams for Lie triple systems. (English) Zbl 0425.17007

MSC:
17A40 Ternary compositions
17A36 Automorphisms, derivations, other operators (nonassociative rings and algebras)
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[1] Berman, S; Moody, R; Wonenburger, M, Cartan matrices with null roots and finite Cartan matrices, Indiana univ. math. J., 21, 1091-1099, (1972) · Zbl 0245.17005
[2] Faulkner, J.R, A construction of Lie algebras from a class of ternary algebras, Trans. amer. math. soc., 155, 137-141, (1971) · Zbl 0215.38503
[3] Lister, W, A structure theory of Lie triple systems, Trans. amer. math. soc., 72, 217-242, (1952) · Zbl 0046.03404
[4] Meyberg, K, Jordan-triplesysteme und die Koecher-konstruction von Lie-algebren, Math. ann., 115, 58-78, (1970) · Zbl 0186.34501
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