Mathematica Eterna
Open Access

Abstract

3-Lie bialgebras (Lc , Cb) and (Lc , Cc)

BAI Ruipu and LIN Lixin

In this paper, we continue to study the structure of four dimensional 3-Lie bialgebras. we obtain that there exist seven classes 3-Lie bialgebras of types (Lci , Cbj ), for 1 ≤ 3, 1 ≤ j ≤ 2 (Theorem 3.2). And thirteen classes 3-Lie bialgebras of types (Lci , Ccj ), for 1 ≤ i, j ≤ 3 (Theorem 3.3).