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

Haibo Chen

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

Representation Theory 2022-12-13 v2

Authors: Haibo Chen

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}.

Keywords

harish-chandra modules w-algebra w(2,2) a-cover simple modules classification high rank classical w-algebra

Cite

@article{arxiv.2208.06181,
  title  = {Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$},
  author = {Haibo Chen},
  journal= {arXiv preprint arXiv:2208.06181},
  year   = {2022}
}

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