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

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

2010-08-25

arxiv.org/abs/1008.4214v1

Mathematics

Rings and Algebras

Scientific paper

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

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