English

Universal Algebra of a Hom-Lie Algebra and group-like elements

Rings and Algebras 2015-05-12 v1 Representation Theory

Abstract

We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure. We discuss group-like elements that we see as a Hom-group integrating the initial Hom-Lie algebra.

Cite

@article{arxiv.1505.02439,
  title  = {Universal Algebra of a Hom-Lie Algebra and group-like elements},
  author = {Camille Laurent-Gengoux and Abdenacer Makhlouf and Joana Teles},
  journal= {arXiv preprint arXiv:1505.02439},
  year   = {2015}
}