$τ$-tilting finite triangular matrix algebras

Takuma Aihara, Takahiro Honma

Published 2020-11-04Version 1

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 $\tau$-tilting finite. In particular, we classify algebras over which triangular matrix algebras are $\tau$-tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete.