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Manuscript Title: WBase: a C package to reduce tensor products of Lie algebra representations.
Authors: A. Candiello
Program title: WBASE
Catalogue identifier: ACTK_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 81(1994)248
Programming language: C.
Computer: VAX 4000/90.
Operating system: VMS 5.5-2, ULTRIX V4.3A.
Word size: 32
Keywords: General purpose, Lie algebras, Tensor products, Irreducible, Representations.
Classification: 4.2.

Nature of problem:
Irreducible representation manipulations are needed in a wide number of physical arguments, such as high energy particle physics, supergravity theories, grand unification models.

Solution method:
The Dynkin technique for manipulating Lie algebra irreps is used. A sophisticated dynamic allocation scheme allows our program to use memory only when really needed.

The limit on the application of our program is related to the dimension of the irreducible representations needed when computing tensor products; this limit is dependent on the hardware, as dynamic allocation does not set software bounds to the size of data.

Running time:
2.41 s for the test run

[1] B.W. Kernighan and B.M. Ritchie, "The C Language" (Prentice-Hall, 1978)