Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] abry_v1_0.gz(18 Kbytes) | ||
---|---|---|

Manuscript Title: Symbolic superalgebra manipulations using Common Lisp. | ||

Authors: R. Cecchini, M. Tarlini | ||

Program title: GRAAL | ||

Catalogue identifier: ABRY_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 60(1990)265 | ||

Programming language: Common Lisp. | ||

Computer: VAX 11/750. | ||

Operating system: VMS 4.X. | ||

Keywords: Computer algebra, Particle physics, Elementary, Computing, Lie superalgebras, Symbolic manipulation, Grassmann parameters, Baker-campbell Hausdorff formula, Similarity Transformation. | ||

Classification: 5, 11.1. | ||

Nature of problem:Symbolic computations on the elements of a given Poisson or Lie Superalgebra and its Enveloping Algebra: elements ordering, commutators, evaluation up to a given order of Similarity Tranformations, general Baker-Campbell-Hausdorff formula. | ||

Solution method:We use the general definitions of Graded Vector Space, Grassmann parameters, Lie Superalgebra and Poisson Superalgebra with their properties. | ||

Restrictions:Due to availability of CPU time and memory, in particular for Baker- Campbell-Hausdorff formula. | ||

Unusual features:All the computations are exact, including numerical coefficients; the program can be used in batch mode and interactively, in this case with an optional menu facility and online help. Lisp knowledge is unnecessary. | ||

Running time:Varies widely depending on the complexity of the problem, from few seconds to many hours. |

Disclaimer | ScienceDirect | CPC Journal | CPC | QUB |