Shapes of Auslander-Reiten Triangles
Abstract Giraldo and Merklen classified the irreducible morphisms in the bounded derived categories of finite dimensional algebras in three classes. The Auslander-Reiten triangles in these categories are made of irreducible morphisms and we classify these triangles in terms of Giraldo and Merklen’s...
Full description
| Author: |
Alvares, Edson Ribeiro [VerfasserIn] Fernandes, Sônia Maria [VerfasserIn] Giraldo, Hernán [VerfasserIn] |
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| Format: |
Electronic Article |
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| Language: |
English |
| Published: |
2019 |
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| Subjects: |
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| Containing Work: |
Enthalten in: Algebras and representation theory - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998, 23(2019), 6 vom: 13. Dez., Seite 2257-2274 |
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| Containing Work: |
volume:23 ; year:2019 ; number:6 ; day:13 ; month:12 ; pages:2257-2274 |
| Links: |
Volltext [lizenzpflichtig] |
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| DOI / URN: |
10.1007/s10468-019-09937-w |
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| Catalog id: |
SPR041464079 |
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| 520 | |a Abstract Giraldo and Merklen classified the irreducible morphisms in the bounded derived categories of finite dimensional algebras in three classes. The Auslander-Reiten triangles in these categories are made of irreducible morphisms and we classify these triangles in terms of Giraldo and Merklen’s classes. As a byproduct this yields an explicit description of the cone of any irreducible morphism. For tilted algebras this applies to a constructive description of the transjective components of the Auslander-Reiten quiver. | ||
| 650 | 4 | |a Representation theory of algebras | |
| 650 | 4 | |a Auslander-Reiten triangles | |
| 650 | 4 | |a irreducible morphisms | |
| 700 | 1 | |a Fernandes, Sônia Maria |e verfasserin |4 aut | |
| 700 | 1 | |a Giraldo, Hernán |e verfasserin |4 aut | |
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