Universal central extensions of braided crossed modules of Lie algebras

Year 2022, Volume: 51 Issue: 4, 1013 - 1028, 01.08.2022

Alejandro Fernández-fariña Manuel Ladra

https://doi.org/10.15672/hujms.901199

Cited By: 1

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

Supporting Institution

Agencia Estatal de Investigación, Xunta de Galicia

Project Number

MTM2016-79661-P, ED431C 2019/10, ED481A-2017/064

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