Dual Gabriel theorem with applications.

DOI10.1007/s11425-004-5235-4zbMath1128.16021arXivmath/0401214OpenAlexW2080993096MaRDI QIDQ854628

Xiao-Wu Chen, Pu Zhang, Hua-Lin Huang

Publication date: 6 December 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401214

zbMATH Keywords

pointed coalgebrasbicomodulesGabriel quiverscosemisimple coalgebrascotensor coalgebrasdual Gabriel theoremquasi-coFrobenius coalgebrasseparable coradicalsTaft-Wilson theorem

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20)

Related Items (8)

Duality between quantum symmetric algebras ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Construct non-graded bi-Frobenius algebras via quivers. ⋮ (*)-serial coalgebras. ⋮ Quivers, quasi-quantum groups and finite tensor categories. ⋮ On quiver-theoretic description for quasitriangularity of Hopf algebras. ⋮ Comodules of \(U_q(sl_2)\) and modules of \(\text{SL}_q(2)\) via quiver methods ⋮ A functorial approach to Gabriel \(k\)-quiver constructions for coalgebras and pseudocompact algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum path algebras
• Tame algebras and integral quadratic forms
• Homological coalgebra
• On the structure of pointed coalgebras
• Reflexivity and coalgebras of finite type
• Locally finite representations
• Basic Hopf algebras and quantum groups
• A quiver quantum group
• Almost split sequences for comodules
• Quiver Hopf algebras.
• Construct bi-Frobenius algebras via quivers.
• Hopf quivers.
• Monomial Hopf algebras.
• Indecomposable Coalgebras, Simple Comodules, and Pointed Hopf Algebras
• The Coradical Filtration for Quantized Enveloping Algebras

This page was built for publication: Dual Gabriel theorem with applications.