Classification of Harish-Chandra modules over the $W$-algebra W(2,2)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146126In this paper, we classify all irreducible weight modules with finite dimensional weight spaces over the $W$-algebra $W(2, 2)$. Meanwhile, all indecomposable modules with one dimensional weight spaces over the $W$-algebra $W(2, 2)$ are also determined.Latex, 20 pagesRepresentation TheoryQuantum Algebra17B10, 17B65, 17B68Classification of Harish-Chandra modules over the $W$-algebra W(2,2)text