MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine \(\mathcal {W}\)-algebras

Casati, Matteo, Valeri, Daniele (2017) MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine \(\mathcal {W}\)-algebras. Bollettino dell'Unione Matematica Italiana, 11 (4). pp. 503-531. ISSN 1972-6724. (doi:10.1007/s40574-017-0146-9) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:67929)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL: https://dx.doi.org/10.1007/s40574-017-0146-9

Abstract

We give an introduction to the Mathematica packages MasterPVA and MasterPVAmulti used to compute λ-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 λ-brackets among the generators of classical affine W-algebras. The use of these packages is shown by providing some explicit examples.

Item Type:	Article
DOI/Identification number:	10.1007/s40574-017-0146-9
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, > QA76.76 Computer software
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Matteo Casati
Date Deposited:	28 Feb 2019 11:48 UTC
Last Modified:	05 Nov 2024 11:08 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/67929 (The current URI for this page, for reference purposes)

University of Kent Author Information

Casati, Matteo.

Creator's ORCID:	https://orcid.org/0000-0002-2207-4807
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