A very good triple of operads

Reference : A very good triple of operads


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/14158

Title :	A very good triple of operads
Language :	English
Author, co-author :	Riviere, Salim [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Dec-2013
Peer reviewed :	No
Keywords :	[en] Leibniz ; Zinbiel ; bialgebra
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/14158
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").

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