Symbolic Lie algebras manipulations using COMMON LISP. We present a description and an implementation of a program in COMMON LISP to perform symbolic computations in a given Lie algebra. Using the general definitions of vector space Lie algebra and enveloping algebra, the program is able to compute commutators, to evaluate similarity transformations and the general Baker-Campbell-Hausdorff formula. All the computations are exact, including numerical coefficients. For the interactive user an optional menu facility and online help are available. LISP knowledge is unnecessary.par [The program called “VSPLAD” (Catalogue number: ABFW) is obtainable from: CPC Program Library, Queen’s University of Belfast, N. Ireland].
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References in zbMATH (referenced in 2 articles , 1 standard article )
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- Cecchini, R.; Tarlini, M.: Symbolic superalgebra manipulations using COMMON LISP (1990)
- Cecchini, R.; Tarlini, M.: Symbolic Lie algebras manipulations using COMMON LISP (1989)