Universal PBW-bases of Hall-Ringel algebras and Hall polynomials

DOI10.1006/jabr.1997.7065zbMath0893.16005OpenAlexW2082954310MaRDI QIDQ1375951

Liangang Peng, Jin-Yun Guo

Publication date: 23 June 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7065

zbMATH Keywords

quiversquantum groupsindecomposable modulesDynkin diagramsindecomposable representationsHall polynomialscomposition algebrasHall algebrasquantized enveloping algebrasmodule categoriessymmetrizable Kac-Moody algebrascategories of representationsPBW-like bases

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

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Cites Work

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• Tame algebras and integral quadratic forms
• Hall algebras and quantum groups
• Hall algebras, hereditary algebras and quantum groups
• Short Chains and Short Cycles of Modules
• The Composition Algebra of a Cyclic Quiver
• The hall polynomials of a cyclic serial algebra