Séminaire Lotharingien de Combinatoire, 80B.52 (2018), 12 pp.

Anna Weigandt

Prism Tableaux for Alternating Sign Matrix Varieties

Abstract. A prism tableau is a set of reverse semistandard tableaux, each positioned within an ambient grid. Prism tableaux were introduced in joint work with A. Yong to provide a formula for the Schubert polynomials of A. Lascoux and M.-P. Schützenberger. This formula directly generalizes the well known expression for Schur polynomials as a sum over semistandard tableaux. Alternating sign matrix varieties generalize the matrix Schubert varieties of W. Fulton. We use prism tableaux to give a formula for the multidegree of an alternating sign matrix variety.

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

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