Symbolic Lie algebras manipulations using COMMON LISP

✍ Scribed by R. Cecchini; M. Tarlini

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 391 KB
• Volume: 52
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(89)90010-6

✦ Synopsis

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 conunutators, 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.