论文标题
线性$ {\ mathbb z} _2^n $ -manifolds和线性动作
Linear ${\mathbb Z}_2^n$-Manifolds and Linear Actions
论文作者
论文摘要
We establish the representability of the general linear ${\mathbb Z}_2^n$-group and use the restricted functor of points - whose test category is the category of ${\mathbb Z}_2^n$-manifolds over a single topological point - to define its smooth linear actions on ${\mathbb Z}_2^n$-graded vector spaces and linear $ {\ mathbb z} _2^n $ -manifolds。在整个论文中，特别强调我们正在使用的许多类别的限制性函数的全部忠诚和目标类别。
We establish the representability of the general linear ${\mathbb Z}_2^n$-group and use the restricted functor of points - whose test category is the category of ${\mathbb Z}_2^n$-manifolds over a single topological point - to define its smooth linear actions on ${\mathbb Z}_2^n$-graded vector spaces and linear ${\mathbb Z}_2^n$-manifolds. Throughout the paper, particular emphasis is placed on the full faithfulness and target category of the restricted functor of points of a number of categories that we are using.
