Geodesic
Hooks formula and related identities
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 3-20 
A. M. Vershik. Hooks formula and related identities. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 3-20. http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a0/
@article{ZNSL_1989_172_a0,
     author = {A. M. Vershik},
     title = {Hooks formula and related identities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--20},
     year = {1989},
     volume = {172},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a0/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We give a new proof of the hook formula for dimensions of irreducible representations of the symmetric group based on a combinatorial identity which is interesting in its own. A probabilistic interpretation of the proof is given. New connections between the Young diagram parameters are discovered.