On some Ringel-Hall products in tame cases.

DOI10.1016/j.jpaa.2012.01.022zbMath1259.16014OpenAlexW2067637649MaRDI QIDQ1934958

Csaba Szántó

Publication date: 30 January 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2012.01.022

zbMATH Keywords

Ringel-Hall algebrastubesindecomposable preprojective modulesfinite-dimensional path algebrasindecomposable preinjective modulesquivers of tame typeRingel-Hall products

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 (7)

On some Ringel-Hall polynomials associated to tame indecomposable modules ⋮ On some Ringel-Hall numbers in tame cases. ⋮ Schofield sequences in the Euclidean case ⋮ On some Hall polynomials over a quiver of type \(\tilde{D}_4\) ⋮ Hall polynomials for tame quivers with automorphism ⋮ Tree representations of the quiver $\widetilde{\mathbb{E}}_{6}$ ⋮ Combinatorial aspects of extensions of Kronecker modules.

Cites Work

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• Tame algebras and integral quadratic forms
• Hall numbers and the composition algebra of the Kronecker algebra.
• Composition algebras of affine type
• The Hall algebra of cyclic serial algebra
• Lie algebras generated by indecomposables
• Hall polynomials for \(\widetilde A_n\).
• Hall algebras, hereditary algebras and quantum groups
• Hall polynomials for affine quivers
• Indecomposable representations of graphs and algebras
• THE COMPOSITION ALGEBRA AND THE COMPOSITION MONOID OF THE KRONECKER QUIVER
• Minimal generators of Ringel-Hall algebras of affine quivers.

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