| 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
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11771122). |
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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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