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

Ruipu, Bai;Lin, Lixin;
mathematica Æterna 2016 Vol. 6 pp. 159-163
192
ruipu20163liemathematica

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).

Keywords

analysis Engineering (General). Civil engineering (General) physics mathematics nuclear and particle physics. atomic energy. radioactivity

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