56 citations · 80 across the 9 of their papers we have counts for
9 papers
Dual Lie bialgebra structures of the twisted Heisenberg-Virasoro type
Guang'ai Song, Yucai Su, Xiaoqing Yue
In this paper, by studying the maximal good subspaces, we determine the dual Lie coalgebras of the centerless twisted Heisenberg-Virasoro algebra. Based on this, we construct the d…
Dual Lie Bialgebra Structures of Poisson Types
Guang'ai Song, Yucai Su
Let be the polynomial algebra on two variables over an algebraically closed field of characteristic zero. Under the Poisson bracket, is equipped with a nat…
Simple Deformed Witt Algebras
Guang'ai Song, Chunguang Xia
For any factorization domain and an algebra endomorphism of , there exists a non-associative algebra with multiplication satisfyin…
Dual Lie Bialgebras of Witt and Virasoro Types
Guang'ai Song, Yucai Su
Structures of dual Lie bialgebras on the one sided Witt algebra, the Witt algebra and the Virasoro algebra are investigated. As a result, we obtain some infinite dimensional Lie al…
Quantization of generalized Virasoro-like algebras
Guang'ai Song, Yucai Su, Yuezhu Wu
In a recent paper by the authors, Lie bialgebras structures of generalized Virasoro-like type were considered. In this paper, the explicit formula of the quantization of generalize…
Hamiltonian type Lie bialgebras
Bin Xin, Guang'ai Song, Yucai Su
We first prove that, for any generalized Hamiltonian type Lie algebra , the first cohomology group is trivial. We then show that all Lie bialgebra structure…