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

Camille Laurent-Gengoux (1) , Abdenacer Makhlouf (2) , Joana Teles (3)

1 IECL - Institut Élie Cartan de Lorraine
2 Université de Haute-Alsace (UHA) - Université de Haute-Alsace (UHA) Mulhouse - Colmar
3 CMUC - Center for Mathematics [Coimbra]

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.

Domaines: Mathématiques [math]

Camille Laurent-Gengoux, Abdenacer Makhlouf, Joana Teles. Universal algebra of a Hom-Lie algebra and group-like elements. 2016. ⟨hal-01285642⟩