The Plactic Monoid

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A path-transformation for random walks and the Robinson-Schensted correspondence (2002, background): “Related topics in representation theory (which are certainly connected to results presented in this paper) include Littelmann’s path model for the finite-dimensional representations of GL(n) (see, for example, [30]), crystal bases, and representations of quantum groups (see, for example, [14], [29])”
ON THE COMBINATORICS OF CRYSTAL GRAPHS, I. LUSZTIG'S INVOLUTION (2005, unknown): “In [23] we defined root operators on admissible subsets, which are certain partial operators associated with the simple roots; in type A, they correspond to the coplactic operations on tableaux [28].”
Gröbner–Shirshov bases and their calculation (2013, background): “A (semistandard) Young tableau onA (see [147]) is a word w = R1R2 · · ·Rt in U such that Ri dominates Ri+1 for all i = 1, .”