We give an introduction to the Mathematica packages MasterPVA and MasterPVAmulti used to compute -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 -brackets among the generators of classical affine -algebras. The use of these packages is shown by providing some explicit examples.
MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine W -algebras / Casati, Matteo; Valeri, Daniele. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 11:4(2018), pp. 503-531. [10.1007/s40574-017-0146-9]
MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine W -algebras
Casati, Matteo;Valeri, Daniele
2018
Abstract
We give an introduction to the Mathematica packages MasterPVA and MasterPVAmulti used to compute -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 -brackets among the generators of classical affine -algebras. The use of these packages is shown by providing some explicit examples.| File | Dimensione | Formato | |
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