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Manuscript Title: Weight multiplicity for Cartan classes.
Authors: V. Amar, U. Dozzio, C. Oleari
Program title: BCD DAM AND MAIN
Catalogue identifier: ACED_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 29(1983)201
Programming language: Fortran.
Computer: CDC CYBER 730.
Operating system: NOS/BE.
RAM: 79K words
Word size: 60
Keywords: General purpose, Representation, Degeneracy, Cartan classes, Lie algebra, Weight.
Classification: 4.2.

Nature of problem:
The importance of simple Lie groups in physics is well known. This program computes the multiplicity of the dominant weights in a given irreducible representation of the Cartan classes B(N), C(N) and D(N).

Solution method:
Given the rank N the program BCD DAM generates the program MAIN. This last program computes the multiplicity of the dominant weights in a given irreducible representation of a group G(N) for the classes of Cartan B(N), C(N) or D(N) by the reduction G(N) -> G(N-1) times U(1) -> ... -> G(2) times (U(1))**N-2.

Running time:
Compile time was 12.4 s, total execution time for the test run was 6.254 s.