Geodesic
Hooks formula and related identities
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 3-20

Voir la notice de l'article 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. 
@article{ZNSL_1989_172_a0,
     author = {A. M. Vershik},
     title = {Hooks formula and related identities},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {172},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a0/}
}
TY  - JOUR
AU  - A. M. Vershik
TI  - Hooks formula and related identities
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1989
SP  - 3
EP  - 20
VL  - 172
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a0/
LA  - ru
ID  - ZNSL_1989_172_a0
ER  - 
%0 Journal Article
%A A. M. Vershik
%T Hooks formula and related identities
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 3-20
%V 172
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a0/
%G ru
%F ZNSL_1989_172_a0
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/