$\tau$-tilting finite triangular matrix algebras
Representation Theory
2021-03-16 v2 Rings and Algebras
Abstract
First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is -tilting finite. In particular, we classify algebras over which triangular matrix algebras are -tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete.
Keywords
Cite
@article{arxiv.2011.02085,
title = {$\tau$-tilting finite triangular matrix algebras},
author = {Takuma Aihara and Takahiro Honma},
journal= {arXiv preprint arXiv:2011.02085},
year = {2021}
}
Comments
11 pages, major changes: Theorem 3.1(1) and the proof of Theorem 2.1, a new important example: Example 3.4