Séminaire Lotharingien de Combinatoire, B28a (1992), 35 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 498/S-28, p. 5-39.]

I.G. Macdonald

Schur Functions: Theme and Variations

Abstract. In this article we shall survey various generalizations, analogues and deformations of Schur functions - some old, some new - that have been proposed at various times. We shall present these as a sequence of variations on a theme and (unlike e.g. Bourbaki) we shall proceed from the particular to the general. Thus Variations 1 and 2 are included in Variation 3 ; Variations 4 and 5 are particular cases of Variation 6 ; and in their turn Variations 6, 7 and 8 (in part) are included in Variation 9.

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