Naoya Hiramae

collaborators

3 papers

math.RT2024

$τ$ -Tilting finiteness of group algebras over generalized symmetric groups

Naoya Hiramae

In this paper, we show that weakly symmetric $τ$ -tilting finite algebras have positive definite Cartan matrices, which implies that we can prove $τ$ -tilting infiniteness of weakly…

math.RT2024

$τ$ -Tilting finiteness of group algebras of semidirect products of abelian $p$ -groups and abelian $p^{'}$ -groups

Naoya Hiramae, Yuta Kozakai

Demonet, Iyama and Jasso introduced a new class of finite dimensional algebras, $τ$ -tilting finite algebras. It was shown by Eisele, Janssens and Raedschelders that tame blocks of…

math.RT2022

Reduction theorem for support $τ$ -tilting modules over group algebras

Naoya Hiramae

In studying the structure of derived categories of module categories of group algebras or their blocks, it is fundamental to classify support $τ$ -tilting modules. Koshio and Kozaka…

τ-Tilting finiteness of group algebras over generalized symmetric groups

τ-Tilting finiteness of group algebras of semidirect products of abelian p-groups and abelian p′-groups

Reduction theorem for support τ-tilting modules over group algebras

$τ$ -Tilting finiteness of group algebras over generalized symmetric groups

$τ$ -Tilting finiteness of group algebras of semidirect products of abelian $p$ -groups and abelian $p^{'}$ -groups

Reduction theorem for support $τ$ -tilting modules over group algebras