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Yang-Baxter Equation and Triple Product Systems

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Symmetries in Science VI

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Abstract

By rewriting the Yang-Baxter equation into a triple product equation under some ansatz, we can solve it by using the symplectic (as well as orthogonal) triple product system. The 56-dimensional Freudenthal’s triple algebra based upon the exceptional Lie algebra E 7 gives one of these solutions.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of Rochester, Rochester, NY, 14627, USA

    Susumu Okubo

Authors
  1. Susumu Okubo
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Editor information

Editors and Affiliations

  1. Southern Illinois University at Carbondale in Niigata, Niigata, Japan

    Bruno Gruber

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© 1993 Springer Science+Business Media New York

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Okubo, S. (1993). Yang-Baxter Equation and Triple Product Systems. In: Gruber, B. (eds) Symmetries in Science VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1219-0_47

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  • DOI: https://doi.org/10.1007/978-1-4899-1219-0_47

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1221-3

  • Online ISBN: 978-1-4899-1219-0

  • eBook Packages: Springer Book Archive

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