On semi-invariants of tilted algebras of type \(A_n\) (Q2773266)
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scientific article; zbMATH DE number 1709859
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semi-invariants of tilted algebras of type \(A_n\) |
scientific article; zbMATH DE number 1709859 |
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21 February 2002
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quivers
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semi-invariants
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tilted algebras
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On semi-invariants of tilted algebras of type \(A_n\) (English)
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The author uses geometric methods to investigate the representations of tilted algebras of type \(A_n\). The main result of the paper is that for a tilted algebra obtained from a path algebra of an equioriented diagram of type \(A_n\), the ring of semi-invariants is a polynomial ring. Examples are supplied to show that in general the result is not true for arbitrary orientations on \(A_n\).
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