Harish-Chandra modules over the high rank W-algebra W(2,2)
Abstract
In this paper, using the theory of -cover developed in 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 LGZ,CLW,GLZ1.
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