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math.RT2025
Entropy and polynomial entropy of derived autoequivalences of derived discrete algebras
Tomasz Ciborski
The aim of this paper is to calculate entropy in the sense of Dimitrov-Haiden-Katzarkov-Kontsevich and polynomial entropy as defined by Fan-Fu-Ouchi of derived autoequivalences of…
math.RT2024
Derived equivalences for the derived discrete algebras are standard
Grzegorz Bobinski, Tomasz Ciborski
We prove that any derived equivalence between derived discrete algebras is standard, i.e.\ is isomorphic to the derived tensor product by a two-sided tilting complex.