A maple package for symmetric functions

Abstract

We describe the man features of a package of Maple programs for manipulating symmetric polynomials and related structures. Among the highlights of the package are (1) a collection of procedures for converting between polynomial expressions involving several fundamental bases, and (2) a general mechanism that allows the user to easily add new bases to the existing collection. The latter facilitates computations involving numerous important families of symmetric functions, including Schur functions, Zonal polynomials, Jack symmetric functions, Hall-Littlewood functions, and the two-parameter symmetric functions of Macdonald. © 1995 Academic Press Limited.