Five-term relation and Macdonald polynomials
J. Comb. Theory, Ser. A, pp. 182-194, 2019.
Abstract The non-commutative five-term relation T 1 , 0 T 0 , 1 = T 0 , 1 T 1 , 1 T 1 , 0 is shown to hold for certain operators acting on symmetric functions. The “generalized recursion” conjecture of Bergeron and Haiman is a corollary of this result.
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