33 citations · 128 across the 21 of their papers we have counts for
4 papers · 2 filters
The controlling -algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples
Yunhe Sheng, Rong Tang, Chenchang Zhu
In this paper, we first construct the controlling algebras of embedding tensors and Lie-Leibniz triples, which turn out to be a graded Lie algebra and an -algebra respect…
Categorification of VB-Lie algebroids and VB-Courant algebroids
Yunhe Sheng
In this paper, first we introduce the notion of a $\VB$-Lie -algebroid, which can be viewed as the categorification of a $\VB$-Lie algebroid. The tangent prolongation of a Lie $…
Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation
Yuwang Hu, Jiefeng Liu, Yunhe Sheng
In this paper, first we study infinitesimal deformations of a Lie algebra with a representation and introduce the notion of a Nijenhuis pair, which gives a trivial deformation of a…
Linearization of the higher analogue of Courant algebroids
Honglei Lang, Yunhe Sheng
In this paper, we show that the spaces of sections of the -th differential operator bundle $\dev^n E$ and the -th skew-symmetric jet bundle $\jet_n E$ of a vector bundle …