Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/16858

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Gálvez Carrillo, Maria Immaculada
dc.contributor.author	Tonks, Andrew
dc.contributor.author	Kock, Joachim
dc.date	2012-07
dc.identifier.citation	Galvez, M.; Tonks, A.; Kock, J. "Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees". 2012.
dc.identifier.uri	http://hdl.handle.net/2117/16858
dc.language.iso	eng
dc.relation	http://arxiv.org/abs/1207.6404
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de categories; àlgebra homològica
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject	Graph theory
dc.subject	Group theory
dc.subject	Mathematical physics
dc.subject	Groupoids
dc.subject	Grafs, Teoria de
dc.subject	Grups, Teoria de
dc.subject	Grupoides
dc.subject	Física matemàtica
dc.subject	Classificació AMS::05 Combinatorics::05C Graph theory
dc.subject	Classificació AMS::20 Group theory and generalizations::20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
dc.subject	Classificació AMS::81 Quantum theory::81T Quantum field theory; related classical field theories
dc.title	Groupoids and Faà di Bruno Formulae for green functions in bialgebras of trees
dc.type	info:eu-repo/semantics/draft
dc.type	info:eu-repo/semantics/report
dc.description.abstract	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 of P, the result implies also formulae for Green functions in bialgebras of graphs

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