Introduction to Co-split Lie Algebras
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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.
KeywordsCo-split Lie algebra Lie coalgebra Adjoint action
Mathematics Subject Classification (2000)17B62
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