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Abstract Incidence coalgebras of categories in the sense of Joni and Rota are studied, specifically cases where a monoidal product on the category turns these into (weak) bialgebras. The overlap… Click to show full abstract
Abstract Incidence coalgebras of categories in the sense of Joni and Rota are studied, specifically cases where a monoidal product on the category turns these into (weak) bialgebras. The overlap with the theory of combinatorial Hopf algebras and that of Hopf quivers is discussed, and examples including trees, skew shapes, Milner’s bigraphs and crossed modules are considered.
Keywords:
incidence;
weak incidence;
bialgebras monoidal;
incidence bialgebras;
monoidal categories
Journal Title: Glasgow Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Glasgow Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!