Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] adpf_v1_0.tar.gz(15 Kbytes)|
|Manuscript Title: A MAPLE program for calculations with Schur functions.|
|Authors: M.J. Carvalho, S. D'Agostino|
|Program title: SCHUROPERA|
|Catalogue identifier: ADPF_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 141(2001)282|
|Programming language: Maple.|
|Computer: Pentium 933 MHz, Compaq Presario 1260, Pentium 300 MHz.|
|Operating system: Windows 95/98.|
|Keywords: Schur functions, Outer product, Internal product, Plethysm, Unitary group, Symmetric group, Character table, General purpose, Algebras, Computer algebra.|
|Classification: 4.2, 5.|
Nature of problem:
Most common operations involving Schur functions, which are widely applied, in particular to many-body physics.
The outer product, skew division, and other plethysm of Schur functions rely on an algorithm for the multiplication and division of monomial symmetric functions . For the internal product of Schur functions, extensive use is made of the MAPLE library program "combinat" .
Main limitation is 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.
|||M.J. Carvalho, S. D'Agostino, Plethysms of Schur functions and the Shell model, J. Phys. A: Math. Gen. 34 (2001) 1375-1392.|
|||MAPLE 6, copyright 2000, Waterloo Maple Inc.|
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