1 citations · 2 across the 6 of their papers we have counts for
6 papers
Cohomology of Lie coalgebras
Joseph Chuang, Andrey Lazarev, Yunhe Sheng +1
A Koszul duality-type correspondence between coderived categories of conilpotent differential graded Lie coalgebras and their Chevalley-Eilenberg differential graded algebras is es…
Symplectic structure, product structures and complex structures on Leibniz algebras
Rong Tang, Nanyan Xu, Yunhe Sheng
In this paper, a symplectic structure on a Leibniz algebra is defined to be a {\em symmetric} nondegenerate bilinear form satisfying certain compatibility condition, and a phase sp…
Deformations and homotopy of Rota-Baxter operators and -operators on Lie algebras
Rong Tang, Chengming Bai, Li Guo +1
This article gives a brief introduction to some recent work on deformation and homotopy theories of Rota-Baxter operators and more generally -operators on Lie algebras…
-algebroids and deformation quantization via pre-Lie algebroids
John Alexander Cruz Morales, Jiefeng Liu, Yunhe Sheng
In this paper, first we introduce a new approach to the notion of -algebroids, which is a generalization of -manifold algebras and -manifolds, and show that -algebroids…
Crossed homomorphisms and Cartier-Kostant-Milnor-Moore theorem for difference Hopf algebras
Li Guo, Yunnan Li, Yunhe Sheng +1
The celebrated Milnor-Moore theorem and the more general Cartier-Kostant-Milnor-Moore theorem establish close relationships of a connected and a pointed cocommutative Hopf algebra…
Remarks on Leibniz algebras
Yunhe Sheng, Zhangju Liu
In this paper, first we construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization. Furthermore, we introduce the notion of the naive representation…