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arXiv · 1310.6501

Quiver Bialgebras and Monoidal Categories

Hua-Lin Huang·Blas Torrecillas
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Abstract

We study the bialgebra structures on quiver coalgebras and the 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.

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BibTeXRIS

Hua-Lin Huang, Blas Torrecillas. 2013-10-24. Quiver Bialgebras and Monoidal Categories. https://doi.org/10.4064/cm131-2-10

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