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

Published 12 Aug 2022 in math.RT | (2208.06181v2)

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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Authors (1)

Haibo Chen

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