On the Killing form of Lie Algebras in Symmetric Ribbon Categories

Abstract

As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories.

References in corpus (2)

• Pictures of Processes: Automated Graph Rewriting for Monoidal Categories and Applications to Quantum Computing
• On Frobenius algebras in rigid monoidal categories