Yamaguti, Kiyoshi; Asano, Hiroshi On the Freudenthal’s construction of exceptional Lie algebras. (English) Zbl 0298.17010 Proc. Japan Acad. 51, 253-258 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 15 Documents MSC: 17B25 Exceptional (super)algebras 17B99 Lie algebras and Lie superalgebras 17B20 Simple, semisimple, reductive (super)algebras 17B35 Universal enveloping (super)algebras PDF BibTeX XML Cite \textit{K. Yamaguti} and \textit{H. Asano}, Proc. Japan Acad. 51, 253--258 (1975; Zbl 0298.17010) Full Text: DOI References: [1] J. R. Faulkner and J. C. Ferrar: On the structure of symplectic ternary algebras. Nederl. Akad. Wetensch. Proc. Ser. A75=Indag. Math., 34, 247-256 (1972). · Zbl 0248.17004 [2] H. Freudenthal: Beziehungen der E7 und E8 zur Oktavenebene. I. Nederl. Akad. Wetensch. Proc. Ser. A57=Indag. Math., 16, 218-230 (1954). · Zbl 0055.02001 [3] H. Freudenthal: Beziehungen der E7 und E8 zur Oktavenebene. II. Nederl. Akad. Wetensch. Proc. Ser. A57=Indag. Math., 16, 363-368 (1954). · Zbl 0058.26101 [4] H. Freudenthal: Beziehungen der E7 und E8 zur Oktavenebene. VIII. Nederl. Akad. Wetensch. Proc. Ser. A62=Indag. Math., 21, 447-465 (1959). · Zbl 0128.15302 [5] W. G. Lister: A structure theory of Lie triple systems. Trans. Amer. Math. Soc, 72, 217-242 (1952). JSTOR: · Zbl 0046.03404 · doi:10.2307/1990753 · links.jstor.org [6] K. Meyberg: Jordan-Tripelsysteme und die Koecher-Konstruktion von Lie-Algebren. Math. Z., 115, 58-78 (1970). · Zbl 0186.34501 · doi:10.1007/BF01109749 · eudml:171335 [7] K. Meyberg: Eine Theorie der Freudenthalschen Tripelsysteme. I, II. Nederl. Akad. Wetensch. Proc. Ser. A71=Indag. Math., 30, 162-174, 175-190 (1968). · Zbl 0261.17002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.