AI 中文总结
该研究遵循Mehta与Tang的结论，借助Artin和Mazur的棒构造，从三类双李群胚构造出三个显式李2群胚，丰富了李2群胚的具体实例。
AI 中文摘要
本注记遵循Mehta和Tang的结果，通过Artin与Mazur的棒构造，从双李群胚构造三类显式李2群胚：双李群胚产生双单纯流形，其截断定义李2群胚。该构造针对逗号双李群胚（Brown和Mackenzie）、可递双李群胚（Brown和Mackenzie），以及由2项同伦表示描述的分裂VB群胚（Gracia-Saz和Mehta）开展。
英文摘要
This note constructs three explicit classes of Lie $2$-groupoids arising from double Lie groupoids via the bar construction of Artin and Mazur, following a result of Mehta and Tang: double Lie groupoids give rise to bisimplicial manifolds whose truncations define Lie $2$-groupoids. This construction is carried out for comma double Lie groupoids (Brown and Mackenzie), transitive double Lie groupoids (Brown and Mackenzie), and split VB-groupoids described by $2$-term representations up to homotopy (Gracia-Saz and Mehta).
CommentsPreliminary version, comments are welcome!
