论文标题
差级级细胞2-呈现
Differential graded cell 2-representations
论文作者
论文摘要
本文开发了一种细胞组合剂和细胞2-代表的理论，用于差异2类。我们介绍了两种类型的部分预订，称为强和弱的预订。然后，我们分析并比较它们。弱的预订更容易处理，而强的预订与相关同型2-占相关的组合的组合更紧密相关。在每个左细胞上，我们将最大理想频谱关联，并且每个最大理想产生了差异分级的细胞2-占。我们证明，任何强细胞都包含在弱细胞中，并且相应的最大理想光谱之间存在生物。最后，我们将弱和强的细胞2-陈述分类，用于在有限差差级代数上进行DG 2类射击双模型的DG分类。
This article develops a theory of cell combinatorics and cell 2-representations for differential graded 2-categories. We introduce two types of partial preorders, called the strong and weak preorder. We then analyse and compare them. The weak preorder is more easily tractable, while the strong preorder is more closely related to the combinatorics of the associated homotopy 2-representations. To each left cell, we associate a maximal ideal spectrum, and each maximal ideal gives rise to a differential graded cell 2-representation. We prove that any strong cell is contained in a weak cell and that there is a bijection between the corresponding maximal ideal spectra. Finally, we classify weak and strong cell 2-representations for dg 2-categories of projective bimodules over finite-dimensional differential graded algebras.
