Séminaire Lotharingien de Combinatoire, 80B.78 (2018), 12 pp.

Sami Assaf and Danjoseph Quijada

A Pieri Rule for Key Polynomials

Abstract. We conjecture a cancellation-free expansion for the product of a key polynomial and a single row key polynomial, generalizing Pieri's rule for computing the product of a Schur function with a single row Schur function.

Received: November 14, 2017. Accepted: February 17, 2018. Final version: April 1, 2018.

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