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Manuscript Title: Number of states of unitary group representations.
Authors: M.F. Soto Jr, R. Mirman
Program title: KOSNUM
Catalogue identifier: ACDT_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 34(1985)339
Programming language: PL/1.
Computer: IBM 3081.
Operating system: OS, MVS, JES3.
RAM: 240K words
Word size: 8
Keywords: General purpose, Algebras, Unitary groups, Number of states, Kostka numbers.
Classification: 4.2.

Subprograms used:
Cat Id Title Reference
AAMI_v1_0 SYMBNDS CPC 27(1982)57

Nature of problem:
To find the number of states and index classes for unitary group representations as a function of the labelling frames and distribution of numerals.

Solution method:
Find the Kostka numbers using matrix inversion.

Usable for any unitary group for which time and storage are available.

Unusual features:
Some subroutines are in Fortran. Lists are used to find frame ordinals. Permuted strings of indices are used in finding the determinant.

Running time:
Through S(3), SU(4) : 0.93 s.