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Manuscript Title: Symbolic lie algebras manipulations using COMMON LISP. | ||

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

Program title: VSPLAD | ||

Catalogue identifier: ABFW_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 52(1989)283 | ||

Programming language: COMMON LISP. | ||

Computer: VAX 11/750. | ||

Operating system: VMS 4.X. | ||

Keywords: Computer algebra, General purpose, Lie algebra, Symbolic manipulation, Enveloping algebra, Baker-campbell Hausdorff formula, Similarity Transformation. | ||

Classification: 4.2, 5. | ||

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

Solution method:We use the general definitions of Vector Space, Lie Algebra and Enveloping Algebra 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. |

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