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arXiv · 2611.03989

Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras

Vishal Bhatoy
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Abstract

We study four-dimensional binomial Artin-Schelter regular algebras and their connection with twisted monoid algebras. Starting with $23$ examples up to permutation of generators, we investigate the associated monoids of I-type and the structure of their groups of fractions. We determine the corresponding finite permutation groups and compute the second group cohomology $H^2(G(M),k^\times)$. These computations allow us to construct explicit families of four-dimensional Koszul Artin-Schelter regular algebras through cocycle twists. We illustrate this construction for some of these algebras.

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Vishal Bhatoy. 2026-11-02. Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras. https://arxiv.org/abs/2611.03989

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