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In mathematics, the Robinson–Schensted correspondence is a bijective correspondence between permutations and pairs of standard Young tableaux of the same shape. It has various descriptions, all of which are of algorithmic nature, it has many remarkable properties, and it has applications in combinatorics and other areas such as representation theory.
The Robinson–Schensted correspondence is a bijective mapping between permutations and pairs of standard Young tableaux, both having the same shape.This bijection can be constructed using an algorithm called Schensted insertion, starting with an empty tableau and successively inserting the values σ 1, ..., σ n of the permutation σ at the numbers 1, 2, ..., n; these form the second line ...
The group S n acts by permuting the positions in each tableau (for instance there is a cyclic permutation the cycles the entries of the first row one place forward). A Young tabloid is an orbit of Young tableaux under the action of the row permutations, the subgroup of S n of permutations that permute the positions in each row separately (this ...
The Specht module of the partition λ is the module generated by the elements E T as T runs through all tableaux of shape λ. The Specht module has a basis of elements E T for T a standard Young tableau. A gentle introduction to the construction of the Specht module may be found in Section 1 of "Specht Polytopes and Specht Matroids". [1]
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The N 2 chart or N 2 diagram (pronounced "en-two" or "en-squared") is a chart or diagram in the shape of a matrix, representing functional or physical interfaces between system elements. It is used to systematically identify, define, tabulate, design, and analyze functional and physical interfaces.