Quiver bialgebras and monoidal categories

Hua-Lin Huang, and Blas Torrecillas. "Quiver bialgebras and monoidal categories." Colloquium Mathematicae 131.2 (2013): 287-300. <http://eudml.org/doc/283938>.

@article{Hua2013,
abstract = {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.},
author = {Hua-Lin Huang, Blas Torrecillas},
journal = {Colloquium Mathematicae},
keywords = {quivers; bialgebras; path coalgebras; monoidal categories},
language = {eng},
number = {2},
pages = {287-300},
title = {Quiver bialgebras and monoidal categories},
url = {http://eudml.org/doc/283938},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Hua-Lin Huang
AU - Blas Torrecillas
TI - Quiver bialgebras and monoidal categories
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 2
SP - 287
EP - 300
AB - 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.
LA - eng
KW - quivers; bialgebras; path coalgebras; monoidal categories
UR - http://eudml.org/doc/283938
ER -