2022
DOI: 10.48550/arxiv.2205.00723
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Twisted algebras of geometric algebras

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 3-dimensional geometric Artin-Schelter regular algebras up to graded algebra isomorphism.

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