The operad Lie is free

Details The operad Lie is free The operad Lie is free

2008-02-21

arxiv.org/abs/0802.3010v1

Mathematics

Quantum Algebra

9 pages

Scientific paper

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.

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