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PreprintCC BY 4.0arXiv

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 H2(G(M),k×). 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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Cite

BibTeXRIS
BibTeX
@misc{bhatoy2026binomial,
  title = {{Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras}},
  author = {Vishal Bhatoy},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03989},
  eprint = {2611.03989},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03989},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras
AU  - Vishal Bhatoy
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03989
UR  - https://arxiv.org/abs/2611.03989
AB  - 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^×). 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.
ER  -