The operad Lie is free
Quantum Algebra
2008-02-22 v1 Algebraic Topology
Combinatorics
Abstract
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series counting the operadic generators, finding a recursive formula for its coefficients, and showing that the asymptotic density of the operadic generators is 1/e.
Cite
@article{arxiv.0802.3010,
title = {The operad Lie is free},
author = {Paolo Salvatore and Roberto Tauraso},
journal= {arXiv preprint arXiv:0802.3010},
year = {2008}
}
Comments
9 pages