English

Derived equivalences between matrix subrings and their applications

Representation Theory 2011-08-02 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1108.0126,
  title  = {Derived equivalences between matrix subrings and their applications},
  author = {Yiping Chen},
  journal= {arXiv preprint arXiv:1108.0126},
  year   = {2011}
}

Comments

16 pages

R2 v1 2026-06-21T18:44:23.881Z