Differential Graded Structures on Path Categories

• 作者: Fang Li Dezhan Tan
• 来源期刊: 代数集刊:英文版
• 学科: 地球科学
• 关键词: 梯度结构 路径 差分 李代数 畴结构
• 年，卷（期）: 2015,（4）
• 页码范围: 677-686
• 页数: 10页
• 分类号: P444
• 语种: 中文

摘要

In this paper, we consider the graded path category associated to a quiver. We investigate all n-differentials on such a category, and also study the associated graded Lie algebra. Moreover, a necessary and sufficient condition is given for the graded path categorv to admit a DG category structure.