L-octo-algebras  

作　　者：AN HUI-HUI WANG ZHI-CHUN 

机构地区：[1]School of Mathematics,Liaoning Normal University

出　　处：《Communications in Mathematical Research》2016年第1期57-69,共13页数学研究通讯（英文版）

基　　金：The NSF(11071106 and 11471151)of China

摘　　要：L-octo-algebra with 8 operations as the Lie algebraic analogue of octo- algebra such that the sum of 8 operations is a Lie algebra is discussed. Any octo- algebra is an L-octo-algebra. The relationships among L-octo-algebras, L-quadri- algebras, L-dendriform algebras, pre-Lie algebras and Lie algebras are given. The close relationships between L-octo-algebras and some interesting structures like Rota- Baxter operators, classical Yang-Baxter equations and some bilinear forms satisfying certain conditions are given also.L-octo-algebra with 8 operations as the Lie algebraic analogue of octo- algebra such that the sum of 8 operations is a Lie algebra is discussed. Any octo- algebra is an L-octo-algebra. The relationships among L-octo-algebras, L-quadri- algebras, L-dendriform algebras, pre-Lie algebras and Lie algebras are given. The close relationships between L-octo-algebras and some interesting structures like Rota- Baxter operators, classical Yang-Baxter equations and some bilinear forms satisfying certain conditions are given also.

关 键 词：L-octo-algebra L-quadri-algebra BIMODULE 

分 类 号：O152.5[理学—数学]