Every free symmetric connected multiplicative operad carries a differential graded Hopf algebra structure, extending the Malvenuto-Reutenauer result.
Jacky III Batkam Mbatchou , Calvin Tcheka.Cosimplicial structure on pointed multiplicative operads,Journal of Homotopy and Related Structures, 20(3) (2025), 365-385
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Differential graded Hopf algebra structure on free symmetric cosimplicial operads
Every free symmetric connected multiplicative operad carries a differential graded Hopf algebra structure, extending the Malvenuto-Reutenauer result.