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symmetric functions and polynomials

Symmetrica allows nearly all computations inside the algebra of symmetric functions. You can easily change basis between the different bases of the algebra of symmetric functions. There are also many routines to switch from the symmetric function to the symmetric polynomial via specifying the length of the alphabet. Also generalisations of the symmetric polynomials/functions are available. In Symmetrica for example we have the following routines:

Schur functions [try]
power sums [try]
product of monomial symmetric functions [try] (3/20/03)
product of Schur functions [try]
skew Schur function [try]
change of bases
Hall Littlewood polynomials [try]
plethysm (7/22/04)
zonal polynomials [try]

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