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math.RT2012★ 2 cited
Classification of quasifinite representations of a Lie algebra related to Block type
Yucai Su, Chunguang Xia, Ying Xu
A well-known theorem of Mathieu's states that a Harish-chandra module over the Virasoro algebra is either a highest weight module, a lowest weight module or a module of the interme…
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…