A MAPLE program for calculations with Schur functions

Published: 30 November 2001| Version 1 | DOI: 10.17632/wm9vwwnkjn.1
M.J. Carvalho, S. D'Agostino


Abstract We describe an interactive program, to be used in the MAPLE environment, for calculations involving Schur functions. The program performs Schur function operations of interest to applications in many-body physics: outer product, internal product, division and outer plethysm. Essential to the program is a new algorithm for the multiplication of monomial symmetric functions, which is used to implement the evaluation of outer product and outer plethysm. The same algorithm is extended to apply to... Title of program: SCHUROPERA Catalogue Id: ADPF_v1_0 Nature of problem Most common operations involving Schur functions, which are widely applied, in particular to many-body physics. Versions of this program held in the CPC repository in Mendeley Data ADPF_v1_0; SCHUROPERA; 10.1016/S0010-4655(01)00402-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System, Computational Method