MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine $\mathcal{W}$-algebras
Mathematical Physics
2017-12-18 v2 math.MP
Rings and Algebras
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1603.05028,
title = {MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine $\mathcal{W}$-algebras},
author = {Matteo Casati and Daniele Valeri},
journal= {arXiv preprint arXiv:1603.05028},
year = {2017}
}
Comments
29 pages, 31 figures. Revised structure and better title, improved the W(G2,f) example