5 papers · 1 filter
A note on a homological epimorphism whose source is a piecewise hereditary algebra
Takuma Aihara
We study a homological epimorphism of proper dg algebras and show that if the source is a finite dimensional piecewise hereditary algebra, then the target is derived equivalent to…
Examples of tilting-discrete symmetric algebras
Takuma Aihara
We give several examples of tilting-discrete symmetric algebras; in particular, one explores which algebra has tilting-discrete trivial extension. We provide a counter example of t…
On representation-finite gendo-symmetric algebras with only one non-injective projective module
Takuma Aihara, Aaron Chan, Takahiro Honma
Motivated by the relation between Schur algebra and the group algebra of a symmetric group, along with other similar examples in algebraic Lie theory, Min Fang and Steffen Koenig a…
-tilting finite triangular matrix algebras
Takuma Aihara, Takahiro Honma
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…
Remarks on dimensions of triangulated categories
Takuma Aihara, Ryo Takahashi
In this paper, we explore when a locally finite triangulated category has dimension zero or finite representation type. We also study generation of derived categories by orthogonal…