MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and   classical affine $\mathcal{W}$-algebras
  We give an introduction to the Mathematica packages "MasterPVA" and "MasterPVAmulti used to compute lambda-brackets in Poisson vertex algebras, which play an important role in the theory of infinite-dimensional Hamiltonian systems. As an application, we give an introduction to the Mathematica package "WAlg" aimed to compute the lambda-brackets among the generators of classical affine W-algebras. The use of these packages is shown by providing some explicit examples. 
Matteo Casati, Daniele Valeri
math-ph math.MP math.RA math.RT