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Manuscript Title: A MAPLE program for calculations with Schur functions. | ||

Authors: M.J. Carvalho, S. D'Agostino | ||

Program title: SCHUROPERA | ||

Catalogue identifier: ADPF_v1_0Distribution 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. | ||

Solution method: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. | ||

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. |

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