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Generalized Verma modules over some Block algebras
Authors:Yongsheng Cheng  Yucai Su
Institution:(1) Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China;(2) College of Mathematics and Information Science Henan University, Kaifeng, 475001, China;(3) Department of Mathematics, University of Science and Technology of China, Hefei, 230026, China
Abstract:In this paper, a class of generalized Verma modules M(V) over some Block type Lie algebra ℬ(G) are constructed, which are induced from nontrivial simple modules V over a subalgebra of ℬ(G). The irreducibility of M(V) is determined.
Keywords:Lie algebra of Block type  generalized Verma module  irreducible module
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