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arxiv: 1008.2505 · v1 · pith:2EBDC2O7new · submitted 2010-08-15 · 🧮 math.QA · math.RT

Introduction to co-split Lie algebras

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keywords algebrasadjointco-splitcoalgebrascompatibilityconceptconditiondefining
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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.

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