Free pre-Lie algebras are free as Lie algebras
classification
🧮 math.RA
math.QA
keywords
algebrasfreegeneratorspre-lieactionanticycliccategoryconsidered
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.