预李2-代数的表示

摘要

By giving the notion of a representation of a pre-Lie 2-algebra,we proved that the semidirect product pre-Lie 2-algebra could be constructed by a representation of a pre-Lie 2-algebra and a representation of the corresponding Lie 2-algebra could be given by a representation of a pre-Lie 2-algebra.%通过给出预李2-代数表示的概念,证明由预李2-代数表示可构造半直积预李2-代数,以及由预李2-代数表示可给出对应的李2-代数表示.