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math-ph2020★ 11 cited
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…
math-ph2020
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 …