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A Summation Formula for Macdonald Polynomials

de Gier, J et al.
The University of Melbourne Library Digital Repository · Papers
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We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the ring of polynomials. In the special cases t=1$${t = 1}$$ and q=0$${q = 0}$$, we recover known expressions for the monom
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