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Manuscript Title: Construction of canonical states of unitary groups.
Authors: M.F. Soto Jr, R. Mirman
Program title: UGRPSTTS
Catalogue identifier: AABB_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 34(1985)347
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 group, Canonical decomposition, Basis states, Explicit realization, 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

Nature of problem:
To find explicit expressions for the basis states of unitary group canonical representations which are basis states of representations of symmetric groups, so labelled by symmetric-group representation labels.

Solution method:
Find all allowed index classes, and tableaux ordinals, obtaining the symmetric group matrices.

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

Unusual features:
Recursion is used to find index classes and decomposition of frames.

Running time:
Through S(3), SU(4) : 6 s.