2004/02/05 by Jean-Louis Loday
Mathematics · #math.QA #math.KT #msc:16A24 #msc:16W30 #msc:18D50
published as Sem.Congr. 9, Soc.Math. France, (2004), 155-172. · In french
arxiv created 2004/02/05 · arxiv updated 2009/12/01
We show that some associative algebras whose product splits up into the sum of several operations and are free, in a certain sense, with respect to these operations, admit a Hopf algebra structure. We show that the operad of dendriform algebras play a crucial role in this context, and we give numerous examples.