Structures of Malcev Bialgebras on a simple non-Lie Malcev algebra

摘要

Lie bialgebras were introduced by Drinfeld in studying the solutions to theclassical Yang-Baxter equation. The definition of a bialgebra in the sense ofDrinfeld (D-bialgebra), related with any variety of algebras, was given byZhelyabin. In this work, we consider Malcev bialgebras. We describe allstructures of a Malcev bialgebra on a simple non-Lie Malcev algebra.