Derived Equivalences for Triangular Matrix Rings

作者：Abe Hiroki^*; Hoshino Mitsuo

来源：Algebras and Representation Theory, 2010, 13(1): 61-67.

DOI：10.1007/s10468-008-9098-1

• Derived equivalence
• Tilting complex
• Triangular matrix ring

We generalize derived equivalences for triangular matrix rings induced by a certain type of classical tilting module introduced by Auslander, Platzeck and Reiten to generalize reflection functors in the representation theory of quivers due to Bernstein, Gelfand and Ponomarev.

• 出版日期2010-2