PBW-basis for the composition algebra of the Kronecker algebra

DOI10.1515/crll.2000.086zbMath0958.16015OpenAlexW2073044699MaRDI QIDQ4513065

Pu Zhang

Publication date: 6 November 2000

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.086

zbMATH Keywords

hereditary algebraspath algebrassimple modulesHall polynomialscomposition algebrasHall algebrasquantized enveloping algebrasKronecker algebrasalgebras of finite representation typetriangular decompositionsPoincaré-Birkhoff-Witt bases

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items

A parameterization of the canonical bases of affine modified quantized enveloping algebras ⋮ Generalized Kac–Moody Lie Algebras and Product Quivers ⋮ On derived Hall numbers for tame quivers ⋮ Hall numbers and the composition algebra of the Kronecker algebra. ⋮ Skew differential operator algebras of twisted Hopf algebras. ⋮ Stability conditions and derived Hall algebras ⋮ Tame quivers and affine bases. I: A Hall algebra approach to the canonical bases ⋮ Hall polynomials for tame type ⋮ PBW-bases of the twisted generic composition algebras of affine valued quivers. ⋮ Quivers and Representations ⋮ Hall polynomials for tame quivers with automorphism ⋮ The Kronecker quiver and bases of quantum affine \(\mathfrak{sl}_2\)

Cites Work

• Tame algebras and integral quadratic forms
• Introduction to quantum groups
• Unnamed Item
• Unnamed Item

This page was built for publication: PBW-basis for the composition algebra of the Kronecker algebra