Toshitaka Aoki

collaborators

2 papers

math.RT2021

Brauer tree algebras have $(n 2 n)$ $2$ -tilting complexes

Toshitaka Aoki

We show that any Brauer tree algebra has precisely $(n 2 n)$ $2$ -tilting complexes, where $n$ is the number of edges of the associated Brauer tree. More explicitly, for an ex…

math.RT2018

Classifying torsion classes for algebras with radical square zero via sign decomposition

Toshitaka Aoki

To study the set of torsion classes of a finite dimensional basic algebra, we use a decomposition, called sign-decomposition, parametrized by elements of ${\pm 1}^{n}$ where $n$ is…

Brauer tree algebras have (n2n​) 2-tilting complexes

Classifying torsion classes for algebras with radical square zero via sign decomposition

Brauer tree algebras have $(n 2 n)$ $2$ -tilting complexes