Derived equivalences between matrix subrings and their applications

Details Derived equivalences between matrix subrings and their applications Derived equivalences between matrix subrings and their applications

2011-07-31

arxiv.org/abs/1108.0126v1

Mathematics

Representation Theory

16 pages

Scientific paper

In this paper, we construct derived equivalences between matrix subrings. As
applications, we calculate the global dimensions and the finitistic dimensions
of some matrix subrings. And we show that the finitistic dimension conjecture
holds for a class of Harada algebras and a class of tiled triangular algebras.

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