Lie bialgebra structures on the $W$-algebra W(2,2)

Understand

Verma modules over the $W$-algebra W(2,2) were considered by Zhang and Dong, while the Harish-Chandra modules and irreducible weight modules over the same algebra were classified by Liu and Zhu etc.

• In the present paper we shall investigate the Lie bialgebra structures on the referred algebra, which are shown to be triangular coboundary.