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A correspondence between a Permutation and a pair of Young Tableaux.
See also Permutation, Young Tableau
References
Knuth, D. E. The Art of Computer Programming, Vol. 3: Sorting and Searching, 2nd ed. Reading, MA: Addison-Wesley, 1973.
Stanton, D. W. and White, D. E. §3.6 in Constructive Combinatorics. New York: Springer-Verlag, pp. 85-87, 1986.