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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.

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.