Reference : A very good triple of operads
E-prints/Working papers : First made available on ORBilu
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/14158
A very good triple of operads
English
Riviere, Salim mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Dec-2013
No
[en] Leibniz ; Zinbiel ; bialgebra
Researchers
http://hdl.handle.net/10993/14158
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").

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