Séminaire Lotharingien de Combinatoire, 80B.81 (2018), 12 pp.

Sami Assaf and Nicolle S. González

Crystal Graphs, Key Tabloids, and Nonsymmetric Macdonald Polynomials

Abstract. We construct a Demazure crystal for nonsymmetric Macdonald polynomials specialized at t=0, giving a new proof that these specialized nonsymmetric Macdonald polynomials are graded sums of Demazure characters.

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

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