Geodesic
Quiver bialgebras and monoidal categories
Hua-Lin Huang1 ; Blas Torrecillas2
1School of Mathematics Shandong University Jinan 250100, China
2Department of Algebra and Analysis Universidad de Almería 04071 Almería, Spain
Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 287-300
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/cm131-2-10
Mots-clés : study bialgebra structures quiver coalgebras monoidal structures categories locally nilpotent locally finite quiver representations shown path coalgebra arbitrary quiver admits natural bialgebra structures endows category locally nilpotent locally finite representations arbitrary quiver natural monoidal structures bialgebras obtain theorems gabriel type pointed bialgebras hereditary finite pointed monoidal categories

Hua-Lin Huang  1   ; Blas Torrecillas  2

1 School of Mathematics Shandong University Jinan 250100, China
2 Department of Algebra and Analysis Universidad de Almería 04071 Almería, Spain 
@article{10_4064_cm131_2_10,
     author = {Hua-Lin Huang and Blas Torrecillas},
     title = {Quiver bialgebras and monoidal categories},
     journal = {Colloquium Mathematicum},
     pages = {287--300},
     year = {2013},
     volume = {131},
     number = {2},
     doi = {10.4064/cm131-2-10},
     language = {de},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm131-2-10/}
}
TY  - JOUR
AU  - Hua-Lin Huang
AU  - Blas Torrecillas
TI  - Quiver bialgebras and monoidal categories
JO  - Colloquium Mathematicum
PY  - 2013
SP  - 287
EP  - 300
VL  - 131
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm131-2-10/
DO  - 10.4064/cm131-2-10
LA  - de
ID  - 10_4064_cm131_2_10
ER  - 
%0 Journal Article
%A Hua-Lin Huang
%A Blas Torrecillas
%T Quiver bialgebras and monoidal categories
%J Colloquium Mathematicum
%D 2013
%P 287-300
%V 131
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm131-2-10/
%R 10.4064/cm131-2-10
%G de
%F 10_4064_cm131_2_10
Hua-Lin Huang; Blas Torrecillas. Quiver bialgebras and monoidal categories. Colloquium Mathematicum, Tome 131 (2013) no. 2, pp. 287-300. doi: 10.4064/cm131-2-10

Cité par Sources :