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math.RT2024
Tilting in -shaped derived categories
Sira Gratz, Henrik Holm, Peter Jorgensen +1
The main result of this paper is that there is sometimes a triangulated equivalence between , the -shaped derived category of an algebra , and , the classic…
math.RT2024
Metric completions of discrete cluster categories
Charley Cummings, Sira Gratz
Neeman shows that the completion of a triangulated category with respect to a good metric yields a triangulated category. We compute completions of discrete cluster categories with…
math.KT2024
Homotopy Invariants for gradable finite dimensional algebras
Sira Gratz, Theo Raedschelders, Špela Špenko +1
We show that for a gradable finite dimensional algebra the perfect complexes and bounded derived category cannot be distinguished by homotopy invariants.