Natural Differential Calculus on Lie Bialgebras with Dual of Triangular Type

摘要

We prove that for specific class of Lie bialgebras, there exists a naturaldifferential calculus. This class consists of the Lie bialgebras for which the dual Lie bialgebra is of triangular type. The differential calculus is explicitly constructed with the help of the R-matrix from the dual. The method is illustrated by several examples.