The operad Lie is free

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.

9 pages

References in corpus (2)

• The rational homology of spaces of long knots in codimension >2
• The homology of the little disks operad