- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 4
- Universal central extensions of braided crossed modules of Lie algebras
Universal central extensions of braided crossed modules of Lie algebras
Authors : Alejandro Fernández-fariña, Manuel Ladra
Pages : 1013-1028
Doi:10.15672/hujms.901199
View : 11 | Download : 4
Publication Date : 2022-08-01
Article Type : Research
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