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 crosses 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.
Field : Fen Bilimleri ve Matematik
Journal Type : Uluslararası
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