Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Categorification of Hopf algebras of rooted trees

100%

Kock J.

Open Mathematics

2013

tom 11

nr 3

401-422

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.

Ograniczanie wyników

1 Open Mathematics

1 Kock J.

1 2013

Wyniki wyszukiwania

Categorification of Hopf algebras of rooted trees