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

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Abstract

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.

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  1. Jörg Feldvoss, Sande 4b, D-21369, Nahrendorf, Germany

    J. Feldvoss

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  1. J. Feldvoss
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Feldvoss, J. Existence of solutions of the classical yang- baxter equation for a real lie Algebra. Abh.Math.Semin.Univ.Hambg. 71, 297–304 (2001). https://doi.org/10.1007/BF02941479

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  • DOI: https://doi.org/10.1007/BF02941479

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