Product Formulas for Standard Tableaux of a Family of Skew Shapes
Séminaire lotharingien de combinatoire, 80B (2018)

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We give new product formulas for the number of standard Young tableaux of a six parameter family of skew shapes generalizing a formula by DeWitt and a formula of Kim and Oh. These are proved by utilizing symmetries for evaluations of factorial Schur functions and the Naruse hook length formula for skew shapes.

@article{SLC_2018_80B_a83,
     author = {Alejandro H. Morales and Igor Pak, and Greta Panova},
     title = {Product {Formulas} for {Standard} {Tableaux} of a {Family} of {Skew} {Shapes}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a83/}
}
TY  - JOUR
AU  - Alejandro H. Morales
AU  - Igor Pak,
AU  - Greta Panova
TI  - Product Formulas for Standard Tableaux of a Family of Skew Shapes
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a83/
ID  - SLC_2018_80B_a83
ER  - 
%0 Journal Article
%A Alejandro H. Morales
%A Igor Pak,
%A Greta Panova
%T Product Formulas for Standard Tableaux of a Family of Skew Shapes
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a83/
%F SLC_2018_80B_a83
Alejandro H. Morales; Igor Pak,; Greta Panova. Product Formulas for Standard Tableaux of a Family of Skew Shapes. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a83/