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Manuscript Title: Computer generated Weyl groups.
Authors: R.E. Beck, B. Kolman
Program title: WEYL GROUP
Catalogue identifier: ACRA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 3(1972)155
Programming language: Fortran.
Computer: IBM 360/75.
Operating system: HASP-II.
RAM: 40K words
Word size: 32
Keywords: General purpose, Weyl group, Lie algebra, Reflection group, Symmetric group, Coset representation, Equivalent particles.
Classification: 4.2.

Nature of problem:
To generate the Weyl group of a complex simple lie algebra and store in a high speed memory.

Solution method:
The symmetric group Sn is first generated by finding coset representat- ives of Sn-1 in Sn. Coset representatives of Sn in the Weyl group are then generated.

The program handles all Lie algebras of rank <=4.

Unusual features:
Group is stored in a manner that makes it easily used in the computation of characters of irreducible representations of simple Lie algebras on a computer.

Running time:
0.03 s for B2, 0.19 s for C3, 0.81 s for D4.