Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] acra_v1_0.gz(7 Kbytes)|
|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.|
Nature of problem:
To generate the Weyl group of a complex simple lie algebra and store in a high speed memory.
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.
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.
0.03 s for B2, 0.19 s for C3, 0.81 s for D4.
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