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Manuscript Title: Computation of unitary group representation matrices.
Authors: M.F. Soto Jr, R. Mirman
Program title: UGREPMAT
Catalogue identifier: AABA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 34(1985)357
Programming language: PL/1.
Computer: IBM 3081.
Operating system: OS/MVS/JES3.
RAM: 350K words
Word size: 8
Peripherals: magnetic tape.
Keywords: General purpose, Algebras, Unitary group, Representation matrices, Numerical values, Canonical decomposition, Symmetric group.
Classification: 4.2.

Subprograms used:
Cat Id Title Reference
AAMC_v1_0 SYMGRPTB CPC 23(1981)81
AAME_v1_0 SYMSTATS CPC 23(1981)95
AAMI_v1_0 SYMBNDS CPC 27(1982)57
ACDT_v1_0 KOSNUM CPC 34(1985)339
AABB_v1_0 UGRPSTTS CPC 34(1985)347

Nature of problem:
To compute representation matrices for the canonical decomposition of representations of unitary groups, using states previously constructed.

Solution method:
Use explicit realization of generators operating on the states.

Restrictions:
Usable for any unitary group for which time and storage are available. Some modifications are needed if the numbers require two digits.

Unusual features:
Pointers are used to construct stacks to store arrays whose dimensions vary.

Running time:
Through S(3), SU(4): 5.5 s.