Five-term relation and Macdonald polynomials.

Journal of Combinatorial Theory, Series A（2019）

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摘要

The non-commutative five-term relation T1,0T0,1=T0,1T1,1T1,0 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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关键词

Macdonald polynomials,Five-term relation,Nabla operator,Pieri rules

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