Kenta Ueyama

collaborators

6 papers

math.RA2026

Irreducible noncommutative quadrics

Izuru Mori, Kenta Ueyama, Wenchao Wu

In this paper, we study irreducible noncommutative quadrics $S / (f)$ via noncommutative graded matrix factorizations. We show that the line modules over $S / (f)$ are described by the…

math.RA2026

Trivial extensions of Koszul Artin-Schelter regular algebras

Kenta Ueyama

Let $S$ be an $N$ -graded Koszul Artin-Schelter regular algebra and let $I ¨ $ be a graded algebra automorphism of $S$ . We study the stable category of graded maximal Cohen-Ma…

math.RA2026

A note on even Clifford algebras of skew quadric hypersurfaces

Tomoya Oshio, Kenta Ueyama

Let $S_{I^} \pm = k ⟨ x_{1}, \dots, x_{n} ⟩ / (x_{i} x_{j} - I^\pm_{ij} x_{j} x_{i})$ be a standard graded skew polynomial algebra over an algebraically closed field $k$ of characteristic not equ…

math.RT2026

Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one

Osamu Iyama, Yuta Kimura, Kenta Ueyama

Tilting theory is one of the central tools in modern representation theory, in particular in the study of Cohen-Macaulay representations. We study Cohen-Macaulay representations of…

math.AC2025

On the $h$ -polynomials of cyclotomic standard graded commutative algebras

Akihiro Higashitani, Kenta Ueyama

We call a standard graded commutative $k$ -algebra cyclotomic if its $h$ -polynomial has all its roots on the unit circle in the complex plane. Complete intersections provide typ…

math.RA2025

Combinatorics of graded module categories over skew polynomial algebras at roots of unity

Akihiro Higashitani, Kenta Ueyama

We introduce an operation on skew-symmetric matrices over $Z / ℓ Z$ called switching, and also define a class of skew-symmetric matrices over $\mathbb{Z}/\ell\mat…

Irreducible noncommutative quadrics

Trivial extensions of Koszul Artin-Schelter regular algebras

A note on even Clifford algebras of skew quadric hypersurfaces

Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one

On the h-polynomials of cyclotomic standard graded commutative algebras

Combinatorics of graded module categories over skew polynomial algebras at roots of unity

On the $h$ -polynomials of cyclotomic standard graded commutative algebras