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arxiv: 0903.1554 · v1 · submitted 2009-03-09 · 🧮 math.RA

The operads of planar forests are Koszul

classification 🧮 math.RA
keywords koszuloperadsplanarforestsalgebradescribedualhopf
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We describe the Koszul dual of two quadratic operads on planar forests introduced to study the infinitesimal Hopf algebra of planar rooted trees and prove that these operads are Koszul.

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