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I am an undergraduate student doing a project on rooted trees. I was wondering if anyone would know any easy to understand references that explains Grossman and Larson's Hopf Algebra on rooted trees? In particular, I want to know how the comultiplication, counit, and antipode are defined. Maybe if there is anything that explains their paper 'Hopf-algebraic structures of families of trees'.

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From Varilly et. al.'s book and also see this paper

http://cds.cern.ch/record/848107/files/cer-002531441.pdf

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  • $\begingroup$ Though your link may answer the question, it is always good to include the essential part in your answer $\endgroup$ – Shailesh Jun 25 '16 at 7:03

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