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

Abstract

In 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 pages

References in corpus (1)

• Classification of irreducible weight modules over $W$-algebra W(2,2)

Cited by in corpus (8)

• Classification of irreducible weight modules over $W$-algebra W(2,2)
• On Free Field Realizations of $W(2,2)$-Modules
• Whittaker Modules For The W-algebra W(2,2)
• Lie bialgebra structures on the $W$-algebra W(2,2)
• q-Deformation of W(2,2) Lie algebra associated with quantum groups
• Quantum group structure of the q-deformed $W$ algebra $\WW_q$
• Indecomposable modules of the intermediate series over W(a,b) algebras
• Whittaker Modules for Graded Lie Algebras