Generalized Verma modules over some Block algebras

doi:10.1007/s11464-008-0008-y

Front. Math. China

2008, Vol. 3

Issue (1) : 37-47 https://doi.org/10.1007/s11464-008-0008-y

Generalized Verma modules over some Block algebras

CHENG Yongsheng¹, SU Yucai²

1.Department of Mathematics, Shanghai Jiao Tong University；College of Mathematics and Information Science, Henan University; 2.Department of Mathematics, University of Science and Technology of China;

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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.

Issue Date: 05 March 2008

Cite this article:

CHENG Yongsheng,SU Yucai. Generalized Verma modules over some Block algebras[J]. Front. Math. China, 2008, 3(1): 37-47.

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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-008-0008-y
https://academic.hep.com.cn/fmc/EN/Y2008/V3/I1/37

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