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Generalized Verma modules over some Block algebras

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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.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yongsheng Cheng & Yucai Su

  2. College of Mathematics and Information Science Henan University, Kaifeng, 475001, China

    Yongsheng Cheng

Authors
  1. Yongsheng Cheng
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  2. Yucai Su
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Correspondence to Yongsheng Cheng.

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Cheng, Y., Su, Y. Generalized Verma modules over some Block algebras. Front. Math. China 3, 37–47 (2008). https://doi.org/10.1007/s11464-008-0008-y

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  • DOI: https://doi.org/10.1007/s11464-008-0008-y

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