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arXiv · 1008.4214

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

Maxim Goncharov
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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.

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Maxim Goncharov. 2010-08-25. Structures of Malcev Bialgebras on a simple non-Lie Malcev algebra. https://doi.org/10.1080/00927872.2011.560587

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