Quiver bialgebras and monoidal categories

• Autorzy: Hua-Lin Huang , Blas Torrecillas
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16T10: Bialgebras
• 16G20: Representations of quivers and partially ordered sets
• 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 131
• Numer: 2
• Strony: 287-300

Daty

wydano

2013

Twórcy

autor

Hua-Lin Huang

• School of Mathematics, Shandong University, Jinan 250100, China

autor

Blas Torrecillas

• Department of Algebra and Analysis, Universidad de Almería, 04071 Almería, Spain

Identyfikatory

DOI

10.4064/cm131-2-10