Free pre-Lie algebras are free as Lie algebras

Details Free pre-Lie algebras are free as Lie algebras Free pre-Lie algebras are free as Lie algebras

2007-04-17

arxiv.org/abs/0704.2153v1

Mathematics

Rings and Algebras

14 pages

Scientific paper

We prove that free pre-Lie algebras, when considered as Lie algebras, are
free. Working in the category of S-modules, we define a natural filtration on
the space of generators. We also relate the symmetric group action on
generators with the structure of the anticyclic PreLie operad.

Affiliated with

Also associated with

No associations

Rating

Free pre-Lie algebras are free as Lie algebras 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 Free pre-Lie algebras are free as Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free pre-Lie algebras are free as Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-233807