Yuta Kozakai

collaborators

5 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

$I ¨ $ -tilting theory and silting theory of skew group algebra extensions

Yuta Kimura, Ryotaro Koshio, Yuta Kozakai +2

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

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

$I ¨ $ -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, $I ¨ $ -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-HernÃ¡ndez's tree-to-star tilting complexes for generalized Brauer tree algebras.

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

I¨-tilting theory and silting theory of skew group algebra extensions

Representation theory of skew braces

I¨-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

$I ¨ $ -tilting theory and silting theory of skew group algebra extensions

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