论文标题
代表稳定类别的扩展
Extensions of representation stable categories
论文作者
论文摘要
FI类型的类别是一种类型，它与有限集和注射非常相似，以便接受不错的表示稳定性结果。几个常见的例子接受了有限套装和注射的刺激。我们首先要仔细回顾与代数和代表理论相关的激励示例的类别纤维理论。我们将FI类型类别之间的哪些函数分类为纤维，因此获得了足够的条件，使FI类型类别成为Grothendieck结构的结果。
A category of FI type is one which is sufficiently similar to finite sets and injections so as to admit nice representation stability results. Several common examples admit a Grothendieck fibration to finite sets and injections. We begin by carefully reviewing the theory of fibrations of categories with motivating examples relevant to algebra and representation theory. We classify which functors between FI type categories are fibrations, and thus obtain sufficient conditions for an FI type category to be the result of a Grothendieck construction.
