290 citations · 1.2k across the 89 of their papers we have counts for
6 papers · 1 filter
Leibniz 2-algebras and twisted Courant algebroids
Yunhe Sheng, Zhangju Liu
In this paper, we give the categorification of Leibniz algebras, which is equivalent to 2-term sh Leibniz algebras. They reveal the algebraic structure of omni-Lie 2-algebras intro…
Omni-Lie 2-algebras and their Dirac structures
Yunhe Sheng, Zhangju Liu, Chenchang Zhu
We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2…
Representations of hom-Lie algebras
Yunhe Sheng
In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail. Der…
On deformations of Lie algebroids
Yunhe Sheng
For any Lie algebroid A, its 1-jet bundle JA is a Lie algebroid naturally and there is a representation π: JA ->DA. Denote by dJ the corresponding coboundary operator. In this pape…
On higher analogues of Courant algebroids
Yanhui Bi, Yunhe Sheng
In this paper, we study the algebraic properties of the higher analogues of Courant algebroid structures on the direct sum bundle for an -dimensional mani…
Integration of semidirect product Lie 2-algebras
Yunhe Sheng, Chenchang Zhu
The semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid…