We will continue to study the representations of finite-dimensional associative algebras as they arise in many parts of mathematics and mathematical physics. The main target will be to describe the general structure of the module category, its derived categories as well as related categories, in particular the homotopy category of perfect complexes. Combinatorial invariants lead to topological structures such as the Auslander-Reiten complex, the geometrical analysis deals with the spectral parameters involved.
| 13012 | Abelian length categories of strongly unbounded type | PDF | PS.GZ |
| 13004 | The Auslander bijections: How morphisms are determined by modules | PDF | PS.GZ |
| 12138 | Quantum cluster algebras of type A and the dual canonical basis | PDF | PS.GZ |
| 12137 | Acyclic cluster algebras from a ring theoretic point of view | PDF | PS.GZ |
| 12134 | Cotorsion pairs and t-structures in a 2-Calabi-Yau triangulated category | PDF | PS.GZ |
| 12133 | $\tau$-rigid modules for algebras with radical square zero | PDF | PS.GZ |
| 12127 | From submodule categories to preprojective algebras | PDF | PS.GZ |
| 12119 | Distinguished bases of exceptional modules | PDF | PS.GZ |
| 12082 | Cohomological length functions | PDF | PS.GZ |
| 12068 | The Gorenstein projective modules for the Nakayama algebras | PDF | PS.GZ |
