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Introduction to Co-split Lie Algebras
Authors:Limeng Xia  Naihong Hu
Affiliation:1.Faculty of Science,Jiangsu University,Zhenjiang,People’s Republic of China;2.Department of Mathematics,East China Normal University,Shanghai,People’s Republic of China
Abstract:In this work, we introduce a new concept which is obtained by defining a new compatibility condition between Lie algebras and Lie coalgebras. With this terminology, we describe the interrelation between the Killing form and the adjoint representation in a new perspective.
Keywords:
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