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.
The following versions are available: