Mathematica Eterna
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3-Lie bialgebras of type (Lb, Cc)

BAI Ruipu and ZHANG Yan

Four dimensional 3-Lie coalgebras with two-dimensional derived algebras, and four-dimensional 3-Lie bialgebras of type (Lb, Cc) are classified. It is proved that there exist three classes of four dimensional 3- Lie coalgebras with two-dimensional derived algebra which are (L, Cci ), i = 1, 2, 3 (Lemma 3.1), and ten classes of four dimensional 3-Lie bialgebras of type (Lb, Cc) (Theorem 3.2)