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Decomposition Spaces and Incidence (Co)Algebras

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Extended Abstracts Spring 2015

Part of the book series: Trends in Mathematics ((RPCRMB,volume 5))

Abstract

Decomposition spaces are simplicial \(\infty \)-groupoids with an exactness property giving coherent associativity of its objective incidence (co)algebra. Our theory encompasses the Connes–Kreimer algebra, (derived) Hall algebras and Möbius inversion. This note describes joint work with J. Kock (Universitat Autònoma de Barcelona) and A. Tonks (Leicester).

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References

  1. A. Dür, Möbius functions, incidence algebras and power series representations. Lecture Notes in Mathematics, vol. 1202 (Springer-Verlag, Berlin, 1986)

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Author information

Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Politècnica de Catalunya, ESEIAAT, 08222, Terrassa, Spain

    Imma Gálvez-Carrillo

Authors
  1. Imma Gálvez-Carrillo
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Correspondence to Imma Gálvez-Carrillo .

Editor information

Editors and Affiliations

  1. Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain

    Dolors Herbera

  2. Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain

    Wolfgang Pitsch

  3. Universitat de Barcelona, Departament de Matemàtiques i Informàtica, Barcelona, Barcelona, Spain

    Santiago Zarzuela

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Gálvez-Carrillo, I. (2016). Decomposition Spaces and Incidence (Co)Algebras. In: Herbera, D., Pitsch, W., Zarzuela, S. (eds) Extended Abstracts Spring 2015. Trends in Mathematics(), vol 5. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-45441-2_12

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