Akihiro Higashitani

collaborators

2 papers

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…

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