Document Type
Article
Publication Title
Springer
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.
First Page
297
Last Page
304
DOI
https://doi.org/10.1007/BF02941479
Publication Date
12-2001
Department
Mathematics and Statistics
Recommended Citation
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
Comments
This is the pre-print version of this article. The published version can be found in the journal Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg and through the publisher Springer at this link: https://www.springer.com/journal/12188.