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The operad Lie is free

2008/02/21 by Paolo Salvatore, Salvatore, Paolo, Roberto Tauraso +1
Mathematics · #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.AT #math.CO #math.QA

paper · pdf · doi:10.48550/arxiv.0802.3010

9 pages

arxiv created 2008/02/21 · arxiv updated 2009/12/01

Abstract

We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series counting the operadic generators, finding a recursive formula for its coefficients, and showing that the asymptotic density of the operadic generators is 1/e.

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