Hereditary noetherian categories of positive Euler characteristic

By H. Lenzing, I. Reiten. 2006

48 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/71fcb7134b49c49ed780574a7176de6be8aa1ece

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. I. Reiten
2. B. Keller
3. H. Lenzing
4. José Antonio de la Peña
5. Osamu Iyama
6. Bernard Leclerc
7. Apostolos Beligiannis
8. Ralf Schiffler

In Mathematical Physics

1. I. Reiten
2. H. Lenzing
3. B. Keller
4. José Antonio de la Peña
5. Osamu Iyama
6. Bernard Leclerc
7. Alexander Kuznetsov
8. Apostolos Beligiannis

Citations in the corpus

• Spectral analysis of finite dimensional algebras and singularities (2008, background): “˜. (ii) The direct sum of all objects in E′ = E \ {O} is a tilting object for the triangulated category T = vectX, and EndT (T′) is a path algebra of Dynkin type ∆. Proof. The first claim is proved in [55]. It is then straightforward to prove the second claim. (Note however that (ii) is not just a tr”
• Cluster-tilted algebras are Gorenstein and stably Calabi–Yau (2005, background): “They arise from certain Ext-finite hereditary abelian categories with Serre duality from [44] [ 43 ].”