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Lie bialgebras arising from alternative and Jordan bialgebras
Authors:M E Goncharov
Institution:1. Novosibirsk State University, Novosibirsk, Russia
Abstract:We consider connection between simple alternative D-bialgebras and Lie bialgebras. We prove that each finite-dimensional alternative noncommutative algebra over an algebraically closed field may be equipped with the nontrivial structure of an alternative D-bialgebra.
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