Existence of solutions of the classical yang- baxter equation for a real lie Algebra

  • J. Feldvoss


We characterize finite-dimensional Lie algebras over the real numbers for which the classical Yang-Baxter equation has a non-trivial skew-symmetric solution (resp. a non-trivial solution with invariant symmetric part). Equivalently, we obtain a characterization of those finite-dimensional real Lie algebras which admit a non-trivial (quasi-) triangular Lie bialgebra structure.

Key words and phrases

Classical Yang-Baxter equation classicalr-matrix (quasi-) triangular Lie bialgebra structure 


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Copyright information

© Mathematische Seminar 2001

Authors and Affiliations

  • J. Feldvoss
    • 1
  1. 1.Jörg FeldvossNahrendorfGermany

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