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[Licence| Download | New Version Template] aaak_v1_0.gz(3 Kbytes)
Manuscript Title: Weight multiplicity for unitary groups.
Authors: V. Amar, U. Dozzio, C. Oleari
Program title: DAM AND DEGSUN
Catalogue identifier: AAAK_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 14(1978)413
Programming language: Fortran.
Computer: CDC CYBER 76.
Operating system: SCOPE 2. 1.
RAM: 18K words
Word size: 60
Keywords: General purpose, Degeneracy, U(n), Unitary group, Lie algebra, Weight, Gel'fand triangle, Representation.
Classification: 4.2.

Nature of problem:
The importance of unitary symmetries in physics is well known. This program computes the multiplicity of a weight in a given irreducible representation of U(n).

Solution method:
Given the rank (n-1) of U(n) the program DAM generates the program DEGSUN. This last program computes the multiplicity of the weight m in in a given irreducible representation of U(n) by properties of the Gel'fand triangle.

Running time:
Compile time was 14,610 s, total execution time for the test runs was 320, 733 s.