Programs 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_0|
Distribution 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.
We use the general definitions of Graded Vector Space, Grassmann parameters, Lie Superalgebra and Poisson Superalgebra with their properties.
Due to availability of CPU time and memory, in particular for Baker- Campbell-Hausdorff formula.
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.
Varies widely depending on the complexity of the problem, from few seconds to many hours.
|Disclaimer | ScienceDirect | CPC Journal | CPC | QUB|