Introduction to Co-split Lie Algebras |
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Authors: | Limeng Xia Naihong Hu |
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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 |
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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. |
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