RIVIERE, Salim ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
A very good triple of operads
Publication date :
December 2013
Commentary :
This is a draft version of a working paper on enveloping Leibniz dialgebras of Leibniz algebras. We show that these objects share many properties with universal enveloping algebras of Lie algebras, in particular a generalised bialgebra structure, PBW and Milnor-Moore type structure theorems, and a homological property that should be satisfied by formal objects integrating Leibniz algebras ("coquecigrues").