We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series counting the operadic generators. We find a recursive formula for the coefficients of the series and show that the asymptotic density of the operadic generators is 1/e. (C) 2008 Elsevier B.V. All rights reserved.
Salvatore, P., Tauraso, R. (2009). The operad Lie is free. JOURNAL OF PURE AND APPLIED ALGEBRA, 213(2), 224-230 [10.1016/j.jpaa.2008.06.008].
The operad Lie is free
SALVATORE, PAOLO;TAURASO, ROBERTO
2009-01-01
Abstract
We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series counting the operadic generators. We find a recursive formula for the coefficients of the series and show that the asymptotic density of the operadic generators is 1/e. (C) 2008 Elsevier B.V. All rights reserved.File in questo prodotto:
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