3 papers
math.RT2020
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…
math.RT2020
-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…
math.RT2018
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…