Séminaire Lotharingien de Combinatoire, B20a (1988), 41pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 372/S-20, p. 131-171.]

I.G. Macdonald

A New Class of Symmetric Functions

Abstract. The polynomials P\lambda(q,t) whose algebra is discussed in this paper generalize the classical symmetric functions, such as the Jack symmetric functions, the Schur functions, the Hall-Littlewood functions, as well as the usual symmetric functions. The main conjecture is to prove that the entries of the transition matrix for going from those polynomials to (say) the Schur functions are all polynomials in q,t.

Queen Mary College, Mile End Road, G.B. London E1 4NS

The following versions are available: