论文标题
几乎简单的仿射差代数组
Almost-simple affine difference algebraic groups
论文作者
论文摘要
仿射差代数组是通过用代数差方程替换代数方程获得的仿射代数基团的概括。我们表明，来自抽象群体理论的同构定理对这些群体具有有意义的类似物，我们建立了Jordan-Hölder型定理，使我们能够将任何仿射差异代数群体分解为几乎简单的仿射差差代代数群体。我们还通过几乎简单的仿射代数组来表征几乎简单的仿射差代数群。
Affine difference algebraic groups are a generalization of affine algebraic groups obtained by replacing algebraic equations with algebraic difference equations. We show that the isomorphism theorems from abstract group theory have meaningful analogs for these groups and we establish a Jordan-Hölder type theorem that allows us to decompose any affine difference algebraic group into almost-simple affine difference algebraic groups. We also characterize almost-simple affine difference algebraic groups via almost-simple affine algebraic groups.
