Geodesic
Lagrange identity and the hooks formula
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 78-87

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A simple combinatorial proof of the hooks formula for the dimensions of irreducible representations of the symmetric group is presented. 
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     author = {A. N. Kirillov},
     title = {Lagrange identity and the hooks formula},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {78--87},
     publisher = {mathdoc},
     volume = {172},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a5/}
}
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A. N. Kirillov. Lagrange identity and the hooks formula. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 78-87. http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a5/