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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_0
Distribution 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.

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.