Geodesic
Prism Tableaux for Alternating Sign Matrix Varieties
Séminaire lotharingien de combinatoire, 80B (2018)

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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. 

@article{SLC_2018_80B_a51,
     author = {Anna Weigandt},
     title = {Prism {Tableaux} for {Alternating} {Sign} {Matrix} {Varieties}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a51/}
}
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JO  - Séminaire lotharingien de combinatoire
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%0 Journal Article
%A Anna Weigandt
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%J Séminaire lotharingien de combinatoire
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%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a51/
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Anna Weigandt. Prism Tableaux for Alternating Sign Matrix Varieties. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a51/