290 citations · 1.2k across the 89 of their papers we have counts for
Showing 2017 · math.RAShow all
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math.RA2017★ 29 cited
Symplectic, product and complex structures on 3-Lie algebras
Yunhe Sheng, Rong Tang
In this paper, first we introduce the notion of a phase space of a 3-Lie algebra and show that a 3-Lie algebra has a phase space if and only if it is sub-adjacent to a 3-pre-Lie al…
math.RA2017
Nijenhuis operators on pre-Lie algebras
Qi Wang, Chengming Bai, Jiefeng Liu +1
First we use a new approach to give a graded Lie algebra whose Maurer-Cartan elements characterize pre-Lie algebra structures. Then using this graded Lie bracket we define the noti…
math.RA2017★ 3 cited
Omni -Lie algebras and linearization of higher analogues of Courant algebroids
Jiefeng Liu, Yunhe Sheng, Chunyue Wang
In this paper, we introduce the notion of an omni -Lie algebra and show that they are linearization of higher analogues of standard Courant algebroids. We also introduce the not…