290 citations · 1.2k across the 89 of their papers we have counts for
Showing 2010 · math-phShow all
3 papers · 2 filters
math-ph2010★ 35 cited
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…
math-ph2010★ 15 cited
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…
math-ph2010★ 290 cited
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…