290 citations · 1.2k across the 89 of their papers we have counts for
4 papers · 2 filters
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…
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…