Hook Length Formula and Geometric Combinatorics
Séminaire lotharingien de combinatoire, Tome 46 (2001-2002)
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We present here a transparent proof of the hook length formula. The formula is reduced to an equality between the number of integer point in certain polytopes. The latter is established by an explicit continuous volume-preserving piecewise linear map.
@article{SLC_2001-2002_46_a5,
author = {Igor Pak},
title = {Hook {Length} {Formula} and {Geometric} {Combinatorics}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {46},
year = {2001-2002},
url = {http://geodesic.mathdoc.fr/item/SLC_2001-2002_46_a5/}
}
Igor Pak. Hook Length Formula and Geometric Combinatorics. Séminaire lotharingien de combinatoire, Tome 46 (2001-2002). http://geodesic.mathdoc.fr/item/SLC_2001-2002_46_a5/