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Constructions of Lie (super)algebras from triple systems

  • II. Lie SuperAlgebras, Supersymmetries, and Related Algebraic Models
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Book cover Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

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Abstract

The construction of Lie algebras and Lie superalgebras from Freudenthal-Kantor (super)pairs by using derivations and pairs of homomorphisms satisfying so called the condi tion (K) is given. The construction of Lie (super)algebras from the commutative associative triple systems and the Freudenthal-Kantor (super)triple systems is also given.

Research supported in part by the Grand in Aid for Fundamental Scientific Research of Ministry of Education, Science and Culture (C) 62540050.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of School Education Hiroshima University, Shinonome 3-chome, 734, Minami-ku Hiroshima, Japan

    Kiyosi Yamaguti

Authors
  1. Kiyosi Yamaguti
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Yamaguti, K. (1988). Constructions of Lie (super)algebras from triple systems. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012277

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  • DOI: https://doi.org/10.1007/BFb0012277

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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