A GENERIC HALL ALGEBRA OF THE KRONECKER ALGEBRA

DOI10.1081/AGB-200065132zbMath1092.16008OpenAlexW2087038721MaRDI QIDQ5699886

Csaba Szántó

Publication date: 27 October 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200065132

zbMATH Keywords

quantum groupspath algebrasregular modulesHall polynomialsRingel-Hall algebrascomposition algebrasquantised enveloping algebrasKronecker quiversPoincaré-Birkhoff-Witt basesgeneralised Kac-Moody algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20)

Related Items (1)

Hall numbers and the composition algebra of the Kronecker algebra.

Cites Work

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• Tame algebras and integral quadratic forms
• Hall algebras and quantum groups
• On Ringel-Hall algebras of tame hereditary algebras
• Hall algebras, hereditary algebras and quantum groups
• The Number of Irreducible Polynomials and Lyndon Words with Given Trace
• A relation between a conjecture of Kac and the structure of the Hall algebra
• Minimal generators of Ringel-Hall algebras of affine quivers.

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