A new approach to Kac's theorem on representations of valued quivers.

DOI10.1007/s00209-003-0541-zzbMath1053.16010OpenAlexW1995223744MaRDI QIDQ1416698

Jie Xiao, Bangming Deng

Publication date: 16 December 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0541-z

zbMATH Keywords

Cartan matricesquiversroot systemsindecomposable representationsRingel-Hall algebrasspeciesdimension vectors

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Infinite-dimensional Lie (super)algebras (17B65) Representations of quivers and partially ordered sets (16G20)

Related Items

Counting absolutely cuspidals for quivers, The double Ringel-Hall algebras of valued quivers., Equivalences between cluster categories, Folding derived categories with Frobenius functors., Fourier transforms on Ringel-Hall algebras, Hall polynomials for affine quivers, The double Ringel-Hall algebra on a hereditary abelian finitary length category, Clusters in Non-simply-laced Finite Type via Frobenius Morphisms, Frobenius morphisms and representations of algebras