Mathematica Eterna
Open Access

Abstract

Bialgebra structures on simple 3-Lie algebra

BAI Ruipu and Guo Weiwei

The bialgebra structure on the finite dimensional simple 3-Lie algebra Le over the field of complex numbers is studied. It is proved that there exist only three non-equivalent bialgebra structures on Le, which are (Le, 0), (Le, Cc3 , ∆1) and (Le, Cc3 , ∆2).