8 citations · 24 across the 14 of their papers we have counts for
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Quantizations of the extended affine Lie algebra
Ying Xu, Junbo Li
The extended affine Lie algebra is quantized from three different points of view in this paper, which produces three noncommutative and nonc…
Indecomposable modules of the intermediate series over W(a,b) algebras
Yucai Su, Ying Xu, Xiaoqing Yue
For any complex parameters a,b, the W(a,b) algebra is the Lie algebra with basis {L_i,W_i|i\in Z}, and relations [L_i,L_j]=(j-i)L_{i+j}, [L_i,W_j]=(a+j+bi)W_{i+j},[W_i,W_j]=0. In t…
Quasifinite representations of a class of Block type Lie algebras $\BB$
Yucai Su, Chunguang Xia, Ying Xu
Intrigued by a well-known theorem of Mathieu's on Harish-Chandra modules over the Virasoro algebra, we give an analogous result for a class of Block type Lie algebras $\BB$, where…
Lie bialgebra structures on the Lie algebra
Ying Xu, Junbo Li, Wei Wang
In the present paper we shall investigate the Lie bialgebra structures on the Lie algebra , which are shown to be triangular coboundary.
Lie bialgebra structures on the extended affine Lie algebra
Ying Xu, Junbo Li
Lie bialgebra structures on the extended affine Lie algebra are investigated. In particular, all Lie bialgebra structures on $\widetilde{sl_2(\math…