(WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES

(WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES

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...

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Veröffentlicht in:Glasgow mathematical journal 2021-01, Vol.63 (1), p.139-157
Hauptverfasser: KRÄHMER, ULRICH, ROTHERAY, LUCIA
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
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Zusammenfassung: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.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089520000075