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arXiv · 2208.06181

Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$

Haibo Chen
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Abstract

In this paper, using the theory of $\A$-cover developed in \cite{B1,BF1}, we completely classify all simple Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$. As a byproduct, we obtain the classification of simple Harish-Chandra modules over the classical $W$-algebra $W(2,2)$ studied in \cite{LGZ,CLW,GLZ1}.

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BibTeXRIS

Haibo Chen. 2022-08-12. Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$. https://arxiv.org/abs/2208.06181

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