Yuta Kozakai

activity

20202026

most citedA characterization for induced modules to be support

τ

-tilting modules

1 citations · 2 across the 11 of their papers we have counts for

collaborators

12 papers

math.RA2026

Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules

Shuji Fujino, Yuta Kozakai

For a tilting complex over a finite-dimensional symmetric algebra over an algebraically closed field, whose distinct graded components have no indecomposable projective direct summ…

math.RT2024★ 1 cited

$τ$ -tilting theory and silting theory of skew group algebra extensions

Yuta Kimura, Ryotaro Koshio, Yuta Kozakai +2

Let $Λ$ be a finite dimensional algebra with an action by a finite group $G$ and $A := Λ * G$ the skew group algebra. One of our main results asserts that the canonical restriction-in…

math.RT2024

Representation theory of skew braces

Yuta Kozakai, Cindy Tsang

According to Letourmy and Vendramin, a representation of a skew brace is a pair of representations on the same vector space, one for the additive group and the other for the multip…

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.RA2024

Two-sided tilting complexes for generalized Brauer tree algebras

Shuji Fujino, Yuta Kozakai, Kohei Takamura

We explicitly construct two-sided tilting complexes corresponding to Membrillo-Hernández's tree-to-star tilting complexes for generalized Brauer tree algebras.

math.RT2023

Clifford's theorem for bricks

Yuta Kozakai, Arashi Sakai

Let $G$ be a finite group, $N$ a normal subgroup of $G$ , and $k$ a field of characteristic $p > 0$ . In this paper, we formulate the brick version of Clifford's theorem under suitable…

math.RT2023★ 1 cited

A characterization for induced modules to be support $τ$ -tilting modules

Ryotaro Koshio, Yuta Kozakai

Let $G ~$ be a finite group and $G$ a normal subgroup of $G ~$ . In this paper, we give a necessary and sufficient condition for $Ind_{G}^{G ~} M$ to be a su…

math.RT2023

Normal subgroups and support $τ$ -tilting modules

Ryotaro Koshio, Yuta Kozakai

Let $G ~$ be a finite group, $G$ a normal subgroup of $G ~$ and $k$ an algebraically closed field of characteristic $p > 0$ . The first main result in this paper is to sho…

math.RT2022

On tilting complexes over blocks covering cyclic blocks

Yuta Kozakai

Let $p$ be a prime number, $k$ an algebraically closed field of characteristic $p$ , $G ~$ a finite group, and $G$ a normal subgroup of $G ~$ having a $p$ -power index in…

math.RT2022

On $τ$ -tilting finiteness of block algebras of direct products of finite groups

Yuta Kozakai

We discuss finiteness/infiniteness of $τ$ -tilting modules over tensor products of two symmetric algebras. As an application, we discuss that over block algebras of direct products…

math.RT2021

Induced modules of support $τ$ -tilting modules and extending modules of semibricks over blocks of finite groups

Ryotaro Koshio, Yuta Kozakai

In this article we study support $τ$ -tilting modules, semibricks and more over blocks of group algebras. Let $k$ be an algebraically closed field of characteristic $p > 0$ , $\tilde{G…

math.RT2020

On support $τ$ -tilting modules over blocks covering cyclic blocks

Ryotaro Koshio, Yuta Kozakai

Support $τ$ -tilting modules correspond to some classes of categorical objects bijectively, such as two-term tilting complexes for any finite dimensional symmetric algebra. This fac…

Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules

τ-tilting theory and silting theory of skew group algebra extensions

Representation theory of skew braces

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

Two-sided tilting complexes for generalized Brauer tree algebras

Clifford's theorem for bricks

A characterization for induced modules to be support τ-tilting modules

Normal subgroups and support τ-tilting modules

On tilting complexes over blocks covering cyclic blocks

On τ-tilting finiteness of block algebras of direct products of finite groups

Induced modules of support τ-tilting modules and extending modules of semibricks over blocks of finite groups

On support τ-tilting modules over blocks covering cyclic blocks

$τ$ -tilting theory and silting theory of skew group algebra extensions

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

A characterization for induced modules to be support $τ$ -tilting modules

Normal subgroups and support $τ$ -tilting modules

On $τ$ -tilting finiteness of block algebras of direct products of finite groups

Induced modules of support $τ$ -tilting modules and extending modules of semibricks over blocks of finite groups

On support $τ$ -tilting modules over blocks covering cyclic blocks