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Quiver bialgebras and monoidal categories

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Huang H.-L., Torrecillas B.

Colloquium Mathematicum

2013

tom 131

nr 2

287-300

We study bialgebra structures on quiver coalgebras and monoidal structures on the categories of locally nilpotent and locally finite quiver representations. It is shown that the path coalgebra of an arbitrary quiver admits natural bialgebra structures. This endows the category of locally nilpotent and locally finite representations of an arbitrary quiver with natural monoidal structures from bialgebras. We also obtain theorems of Gabriel type for pointed bialgebras and hereditary finite pointed monoidal categories.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Huang H.-L.

1 Torrecillas B.

1 2013

Wyniki wyszukiwania

Quiver bialgebras and monoidal categories