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Manuscript Title: Invariants and commutators for unitary group representations.
Authors: M.F. Soto Jr, R. Mirman
Program title: INVRNUGR
Catalogue identifier: AABC_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 34(1985)365
Programming language: PL/1.
Computer: IBM 3081.
Operating system: OS/MVS/JES3.
RAM: 400K words
Word size: 8
Peripherals: magnetic tape.
Keywords: General purpose, Algebras, Unitary groups, Canonical Representations, Invariants.
Classification: 4.2.

Subprograms used:
Cat Id Title Reference
AAME_v1_0 SYMSTATS CPC 23(1981)95
AAMI_v1_0 SYMBNDS CPC 27(1982)57
ACDT_v1_0 KOSNUM CPC 34(1985)339
AABA_v1_0 UGREPMAT CPC 34(1985)357

Nature of problem:
To find the invariants, the polynomials in the generators, labelling the unitary group representations.

Solution method:
Multiply and sum generators.

Restrictions:
Usable for any unitary group representation for which time and storage are available. Some modifications are needed for two-digit numbers.

Running time:
Through S(3), SU(4) : 21 s.