On Hopf algebra structures over free operads

Details On Hopf algebra structures over free operads On Hopf algebra structures over free operads

2005-04-26

arxiv.org/abs/math/0504531v4

Adv. Math. 207 (2006), no. 2, 544-565

Mathematics

Rings and Algebras

25pages, uses elsart.cls, paper extracted from habilitation thesis (math.RA/0407074), revised (more details in sections 2,3,4,

Scientific paper

The operad Lie can be constructed as the operad of primitives Prim As from the operad As of associative algebras. This is reflected by the theorems of Friedrichs, Poincare'-Birkhoff-Witt and Cartier-Milnor-Moore. We replace As by families of free operads P, which include the operad Mag freely generated by a noncommutative non-associative binary operation and the operad of Stasheff polytopes. We obtain Poincare'-Birkhoff-Witt type theorems and collect information about the operads Prim P, e.g. in terms of characteristic functions.

Affiliated with

Also associated with

No associations

Rating

On Hopf algebra structures over free operads does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Hopf algebra structures over free operads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Hopf algebra structures over free operads will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199912