Geodesic
On the combinatorics of rational representations of the group $GL(n,\mathbb{C})$
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 83-90

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A generalized Robinson–Schoensted–Knuth correspondence is constructed associated with the decomposition of representations of $GL(n,\mathbb{C})$ in mixed tensor spaces. 
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     author = {S. V. Kerov and A. N. Kirillov},
     title = {On the combinatorics of rational representations of the group $GL(n,\mathbb{C})$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {200},
     year = {1992},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a7/}
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S. V. Kerov; A. N. Kirillov. On the combinatorics of rational representations of the group $GL(n,\mathbb{C})$. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Tome 200 (1992), pp. 83-90. http://geodesic.mathdoc.fr/item/ZNSL_1992_200_a7/