Categorification of Hopf algebras of rooted trees
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
We exhibit a monoidal structure on the category of finite sets indexed by P-trees for a finitary polynomial endofunctor P. This structure categorifies the monoid scheme (over Spec N) whose semiring of functions is (a P-version of) the Connes-Kreimer bialgebra H of rooted trees (a Hopf algebra after base change to Z and collapsing H-0). The monoidal structure is itself given by a polynomial functor, represented by three easily described set maps; we show that these maps are the same as those occurring in the polynomial representation of the free monad on P.
Originalsprog | Engelsk |
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Tidsskrift | Central European Journal of Mathematics |
Vol/bind | 11 |
Udgave nummer | 3 |
Sider (fra-til) | 401-422 |
Antal sider | 22 |
ISSN | 1895-1074 |
DOI | |
Status | Udgivet - mar. 2013 |
Eksternt udgivet | Ja |
ID: 331501149