Geodesic
On $W$-graphs of the symmetric group representations
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 190-202

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$W$-graphes are closely related to the Kazhdan–Lusztig polynomials now extensively used in representation theory of semisimple groups. For the symmetric group $W=\sigma_n$ description of Kazhdan–Lusztig polynomials for the grassmanians and of the related $\sigma_n$-graphs is known. The aim of this paper is to describe more general $\sigma_n$-graphs, e. g. the graphs of hook diagrams and all irreducible $\sigma_n$-graphs for $n\leqslant6$. 
@article{ZNSL_1983_123_a14,
     author = {S. V. Kerov},
     title = {On $W$-graphs of the symmetric group representations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {190--202},
     publisher = {mathdoc},
     volume = {123},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a14/}
}
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S. V. Kerov. On $W$-graphs of the symmetric group representations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 190-202. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a14/