Twisted algebras of geometric algebras
Rings and Algebras
2022-05-03 v1
Abstract
A twisting system is one of the major tools to study graded algebras, however, it is often difficult to construct a (non-algebraic) twisting system if a graded algebra is given by generators and relations. In this paper, we show that a twisted algebra of a geometric algebra is determined by a certain automorphism of its point variety. As an application, we classify twisted algebras of -dimensional geometric Artin-Schelter regular algebras up to graded algebra isomorphism.
Keywords
Cite
@article{arxiv.2205.00723,
title = {Twisted algebras of geometric algebras},
author = {Masaki Matsuno},
journal= {arXiv preprint arXiv:2205.00723},
year = {2022}
}