English

Universal central extensions of braided crossed modules in Lie algebras

Rings and Algebras 2019-11-27 v1

Abstract

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

Keywords

Cite

@article{arxiv.1911.11400,
  title  = {Universal central extensions of braided crossed modules in Lie algebras},
  author = {Alejandro Fernández-Fariña and Manuel Ladra},
  journal= {arXiv preprint arXiv:1911.11400},
  year   = {2019}
}

Comments

19 Pages