PROGRAM SUMMARY
Title of program:
SCHUROPERA
Catalogue identifier:
ADPF
Ref. in CPC:
141(2001)282
Distribution format: tar gzip file
Operating system: Windows 95/98
Number of lines in distributed program, including test data, etc:
1175
Keywords:
Schur functions, Outer product, Internal product, Plethysm,
Unitary group, Symmetric group, Character table, General purpose,
Algebras, Computer algebra.
Programming language used: Maple
Computer:
Pentium 933 MHz ,
Compaq Presario 1260 ,
Pentium 300 MHz .
Nature of physical problem:
Most common operations involving Schur functions, which are widely
applied, in particular to many-body physics.
Method of solution:
The outer product, skew division, and other plethysm of Schur functions
rely on an algorithm for the multiplication and division of monomial
symmetric functions [1]. For the internal product of Schur functions,
extensive use is made of the MAPLE library program "combinat" [2].
Restrictions:
Main limitation is running time.
Typical running time:
Running time depends both on the operation performed and on the computer
processor type. Elapsed times for specific operations are reported in
the test runs.
References:
[1] M.J. Carvalho, S. D'Agostino, Plethysms of Schur functions and the
Shell model, J. Phys. A: Math. Gen. 34 (2001) 1375-1392.
[2] MAPLE 6, copyright 2000, Waterloo Maple Inc.