• Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees 

      Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2014)
      Article
      Accés restringit per política de l'editorial
      We prove a Faà di Bruno formula for the Green function in the bialgebra of P-trees, for any polynomial endofunctor P. The formula appears as relative homotopy cardinality of an equivalence of groupoids.
    • Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees 

      Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Kock, Joachim (2012-07)
      Report de recerca
      Accés obert
      We prove a Faa di Bruno formula for the Green function in the bialgebra of P-trees, for any polynomial endofunctor P. The formula appears as relative homotopy cardinality of an equivalence of groupoids. For suitable choices ...
    • On the representations of 2-groups in Baez-Crans 2-vector spaces 

      Alarcón Heredia, Benjamín; Elgueta Montó, Josep (2016-10-06)
      Article
      Accés obert
      We study the theory of representations of a 2-group G in Baez-Crans 2-vector spaces over a field k of arbitrary characteristic, and the corresponding 2-vector spaces of intertwiners. We also characterize the irreducible ...