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arXiv · 1803.07897

(Weak) incidence bialgebras of monoidal categories

Ulrich Kraehmer·Lucia Rotheray
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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 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.

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Ulrich Kraehmer, Lucia Rotheray. 2018-03-21. (Weak) incidence bialgebras of monoidal categories. https://arxiv.org/abs/1803.07897

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