Structures of Malcev Bialgebras on a simple non-Lie Malcev algebra
Rings and Algebras
2020-12-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1008.4214,
title = {Structures of Malcev Bialgebras on a simple non-Lie Malcev algebra},
author = {Maxim Goncharov},
journal= {arXiv preprint arXiv:1008.4214},
year = {2020}
}