Ayako Itaba

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math.RA2026

Hochschild cohomology of Beilinson algebras of graded down-up algebras with weights ( $n, m$ )

Ayako Itaba, Shu Minaki

Let $A = A (I^\pm, I^^{2})$ be a graded down-up algebra with weights $(deg x, deg y) = (n, m)$ and $I^^{2} \neq = 0$ , and $\nabla A$ its Beilinson algebra. Such an algebra $A$ is…

math.RA2026

Classifications of 3-dimensional cubic AS-regular algebras whose point schemes are not integral

Ayako Itaba, Masaki Matsuno, Yu Saito

By the result of Artin--Tate--Van den Bergh, every $3$ -dimensional cubic AS-regular algebra A can be expressed as a geometric algebra $A = A (E, I ¨ )$ , where $E$ is either $\m…

Hochschild cohomology of Beilinson algebras of graded down-up algebras with weights (n,m)

Classifications of 3-dimensional cubic AS-regular algebras whose point schemes are not integral

Hochschild cohomology of Beilinson algebras of graded down-up algebras with weights ( $n, m$ )