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math.RT2011
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…
math.RT2011
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…