3-Lie bialgebras (Lb,Cd) and (Lb,Ce)

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2016
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Abstract
Four dimensional $3$-Lie coalgebras with two-dimensional derived algebras, and four-dimensional $3$-Lie bialgebras of type $(L_b, C_c)$ are classified. It is proved that there exist three classes of four dimensional $3$-Lie coalgebras with two-dimensional derived algebra which are $(L, C_{c_i})$, $i=1, 2, 3$ (Lemma 3.1), and ten classes of four dimensional $3$-Lie bialgebras of type $(L_b, C_c)$ (Theorem 3.2).
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Authors Ruipu, Bai;Lin, Lixin;
Journal mathematica Æterna
Year 2016
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