The operad Lie is free

• Autores: Paolo Salvatore, Roberto Tauraso
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 2, 2009, págs. 224-230
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.06.008
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• Resumen

  • 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.