Journal of Jilin University Science Edition

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Representations of PreLie 2-Algebras

LIU Shanshan, TANG Rong   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2016-12-01 Online:2017-07-26 Published:2017-07-13
  • Contact: TANG Rong E-mail:tangrong16@mails.jlu.edu.cn

Abstract: 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.

Key words: preLie 2-algebra, Lie 2-algebra, representation, pre-Lie algebra

CLC Number: 

  • O154.1