论文标题
几何代数的扭曲代数
Twisted algebras of geometric algebras
论文作者
论文摘要
扭曲系统是研究分级代数的主要工具之一，但是，如果发电机和关系给出了分级代数，通常很难构建（非代数）扭曲系统。在本文中，我们表明几何代数的扭曲代数取决于其点的某些自动形态。作为一种应用，我们将扭曲的代数分类为$ 3 $维数的几何artin-schelter常规代数，直到分级代数同构。
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.
