Prism tableaux for alternating sign matrix varieties
Combinatorics
2017-08-25 v1 Algebraic Geometry
Abstract
A prism tableau is a set of reverse semistandard tableaux, each positioned within an ambient grid. Prism tableaux were introduced to provide a formula for the Schubert polynomials of A. Lascoux and M.P. Sch\"utzenberger. 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.
Cite
@article{arxiv.1708.07236,
title = {Prism tableaux for alternating sign matrix varieties},
author = {Anna Weigandt},
journal= {arXiv preprint arXiv:1708.07236},
year = {2017}
}
Comments
33 pages