"Existence of Solutions of the Classical Yang-Baxter Equation for a Rea" by Jorg Feldvoss
 

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

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.

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