Gog and Magog Triangles, and the Schützenberger Involution
Séminaire lotharingien de combinatoire, Tome 66 (2011-2012)
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We describe an approach to finding a bijection between Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions, which is based on the Schützenberger involution. In particular, we give an explicit bijection between Gog and Magog trapezoids with two diagonals.
@article{SLC_2011-2012_66_a3,
author = {Hayat Cheballah and Philippe Biane},
title = {Gog and {Magog} {Triangles,} and the {Sch\"utzenberger} {Involution}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {66},
year = {2011-2012},
url = {http://geodesic.mathdoc.fr/item/SLC_2011-2012_66_a3/}
}
Hayat Cheballah; Philippe Biane. Gog and Magog Triangles, and the Schützenberger Involution. Séminaire lotharingien de combinatoire, Tome 66 (2011-2012). http://geodesic.mathdoc.fr/item/SLC_2011-2012_66_a3/