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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

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