Classification of discrete derived categories

Grzegorz Bobiński; Christof Geiß; Andrzej Skowroński

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Let F: R → R/G be a Galois covering and $m o d_{1} (R / G)$ (resp. $m o d_{2} (R / G)$ ) be a full subcategory of the module category mod (R/G), consisting of all R/G-modules of first (resp. second) kind with respect to F. The structure of the categories $(m o d (R / G)) / [m o d_{1} (R / G)]$ and $m o d_{2} (R / G)$ is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.