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Weight multiplicity for unitary groups

✍ Scribed by V. Amar; U. Dozzio; C. Oleari

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 411 KB
Volume: 14
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(78)90005-x

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✦ Synopsis

Nature of the physical problem

Reno BOLOGNA (Italy)

The importance of unitary symmetries in physics is well known. This program computes the multiplicity of a weight

Operating system: scope 2.1. in a given irreducible representation of U(n).

Programming language used: FORTRAN IV

Method of solution

Given the rank (n -1) of U(n) the program DAM generates High speed storage required: 18 100 words the program DEGSUN. This last program computes the multiplicity of the weight m in a given irreducible representation No of bits in a word: 60 of U(n) by properties of the Gel'fand triangle. Overlay structure: none Typical running time Compile time was 14,610 s, total execution time for the test No. of magnetic tapes required: none runs was 320, 733 s.

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