On a class of Jordan D-bialgebras

A class of Jordan bialgebras related to the "Jordan analog" of the classical Yang-Baxter equation is considered. It is proved that every Jordan bialgebra defined on a finite-dimensional semisimple Jordan algebra belongs to that class.

BD-ZHE1.PS (271 KB)
BD-ZHE1.PS.gz (88 KB)

V. N. Zhelyabin<vicnic@math.nsc.ru>