Verma Modules over Some Lie Algebras of $W$-Type
Received:June 28, 2022  Revised:November 25, 2022
Key Words: $W$-algebra   Verma module   singular vector  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11771122).
Author NameAffiliation
Congcong CHEN School of Mathematics and Statistics, Henan University, Henan 475004, P. R. China 
Yongsheng CHENG School of Mathematics and Statistics, Henan University, Henan 475004, P. R. China 
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Abstract:
      In this paper, we describe the structure of Verma modules over the two kinds of Lie algebras $\mathfrak{g}(\lambda)$ of $W$-type. We determine the reducibility and the singular vectors of their Verma modules under some conditions.
Citation:
DOI:10.3770/j.issn:2095-2651.2023.04.007
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