290 citations · 1.2k across the 89 of their papers we have counts for
5 papers · 1 filter
Hom-Lie 2-algebras
Yunhe Sheng, Danhua Chen
In this paper, we introduce the notions of hom-Lie 2-algebras, which is the categorification of hom-Lie algebras, -algebras, which is the hom-analogue of -alge…
Integration of Lie 2-algebras and their morphisms
Yunhe Sheng, Chenchang Zhu
Given a strict Lie 2-algebra, we can integrate it to a strict Lie 2-group by integrating the corresponding Lie algebra crossed module. On the other hand, the integration procedure…
Lie 2-bialgebras
Chengming Bai, Yunhe Sheng, Chenchang Zhu
In this paper, we study Lie 2-bialgebras, with special attention to coboundary ones, with the help of the cohomology theory of -algebras with coefficients in -m…
On Double Vector Bundles
Zhuo Chen, Zhangju Liu, Yunhe Sheng
In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on…
Higher Extensions of Lie Algebroids
Yunhe Sheng, Chenchang Zhu
We study the extension of a Lie algebroid by a representation up to homotopy, including semidirect products of a Lie algebroid with such representations. The extension results in a…