3 papers
math.RT2026
Rickard's question on standard derived equivalences
Wei Hu, Changchang Xi, Jin Zhang
In 1991 Rickard asked whether every derived equivalence of algebras over a common field is standard. We construct a series of examples of non-standard derived equivalences, and thu…
math.RT2026
Higher cluster tilting objects in locally finite triangulated categories
Bin Qi, Qi Bin, Yifu Han +1
We study higher cluster tilting objects through covering functors from derived categories of hereditary algebras. The covering formalism reduces the existence problem to the equiva…
math.RT2026
Level-rank dualities and moving vectors
Wei Hu, Feiyue Huang, Yanbo Li +1
Duality relations between Lie algebras are a significant phenomenon in Lie algebra representation theory, with level-rank duality as a famous example. Level-rank dualities for affi…