  At the previous congress (CRM 6), we reviewed the construction of Yang-Baxter
operators from associative algebras, and presented some (colored) bialgebras
and Yang-Baxter systems related to them. The current talk deals with
Yang-Baxter operators from (G, \theta)-Lie algebras (structures which unify the
Lie algebras and the Lie superalgebras). Thus, we produce solutions for the
constant and the spectral-parameter Yang-Baxter equations, Yang-Baxter systems,
etc. Attempting to present the general framework we review the work of other
authors and we propose problems, applications and directions of study.
