Programs in Physics & Physical Chemistry
|[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.|
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).
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.
Compile time was 14,610 s, total execution time for the test runs was 320, 733 s.
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