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A construction of Lie bialgebras from Lie coalgebras via antisymmetric bilinear forms

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Abstract A construction of Lie bialgebras from Lie coalgebras is given by using differentials of some antisymmetric bilinear forms. As applications Lie coalgebras of dimension less than 3 and an… Click to show full abstract

Abstract A construction of Lie bialgebras from Lie coalgebras is given by using differentials of some antisymmetric bilinear forms. As applications Lie coalgebras of dimension less than 3 and an infinite-dimensional Lie coalgebra introduced by W. Michaelis are discussed.

Keywords: bialgebras lie; lie; antisymmetric bilinear; lie coalgebras; construction lie; lie bialgebras

Journal Title: Communications in Algebra
Year Published: 2020

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