Universal central extensions of braided crossed modules of Lie algebras

Abstract

In this paper, we give a natural braiding on the universal central extension of a Lie crossed module with a given braiding in the category of Lie crossed modules. We also construct the universal central extension of a braided Lie crossed module in the category of braided Lie crossed modules, showing that, when one of these constructions exists, both of them exist and coincide.

Keywords

• Lie algebra
• Lie crossed module
• braided
• universal central extension

References

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