A construction of Lie bialgebras from Lie coalgebras via antisymmetric bilinear forms
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DOI: 10.1080/00927872.2020.1730864
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… read more here.
Keywords: bialgebras lie; lie; antisymmetric bilinear; lie coalgebras ... See more keywords
Wells sequences for abelian extensions of Lie coalgebras
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DOI: 10.1142/s0219498821501498
Abstract: For a Lie comodule M of a Lie coalgebra C and the Lie algebra ????(C,M) (respectively, the group ????(C,M)) of diagonal coderivations (respectively, Lie coalgebra automorphisms) of the semidirect sum C ⋉... read more here.
Keywords: abelian extensions; sequences abelian; wells sequences; lie coalgebras ... See more keywords