Universal central extensions of braided crossed modules of Lie algebras

Authors : Alejandro FERNÁNDEZFARİÑA, Manuel LADRA

Pages : 1013-1028

Doi:10.15672/hujms.901199

View : 25 | Download : 9

Publication Date : 2022-08-01

Article Type : Research Paper

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