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Universal enveloping algebras of weighted differential Poisson algebras
Ying Chen, Chuangchuang Kang, Jiafeng Lü
The -differential operators and modified -differential operators are generalizations of classical differential operators. This paper introduces the notions of -differentia…
From -operators of 3-Dimensional 3-Lie algebras to 3-Pre-Lie algebras
Cheng Ziying, Kang Chuangchuang, Lü Jiafeng
In this paper, we explicitly determine all -operators with respect to the adjoint representation of 3-dimensional complex 3-Lie algebras. Furthermore, we provide the i…
Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras
Xiaoguang Zou, Xiang Gao, Chuangchuang Kang +1
In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operator…
Polyubles, Poisson homogeneous spaces and multi-flag varieties
Shaoqiang Deng, Chuangchuang Kang, Shizhuo Yu
A polyuble of a Manin triple can be regarded as the ``-th power'' of it, which plays an important rule in the study of Poisson geometry, mathematical physics and Lie theory. In…