Lie algebras determined by finite valued Auslander-Reiten quivers (Q1373847)
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scientific article; zbMATH DE number 1091437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie algebras determined by finite valued Auslander-Reiten quivers |
scientific article; zbMATH DE number 1091437 |
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Lie algebras determined by finite valued Auslander-Reiten quivers (English)
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22 June 1998
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Work of Ringel, Riedtmann and others shows how to impose a Lie algebra structure on the free Abelian group generated by the isomorphism classes of indecomposable modules over a representation-finite finite-dimensional algebra. Peng obtained this Lie algebra structure directly from the Auslander-Reiten quiver in case this has trivial valuation. The paper under review extends Peng's result to the general case of valued Auslander-Reiten quivers. The proofs are based on Hall algebra methods.
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indecomposable modules
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representation-finite finite-dimensional algebras
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Lie algebras
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valued Auslander-Reiten quivers
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Hall algebras
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0.9876746
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0.9328419
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0.9065684
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