12
votes
2answers
293 views
Generalization’s of Greene’s Theorem for the Robinson-Schensted correspondence
One important property of the Robinson-Schensted correspondence (RS) is that the longest increasing subsequence of the permutation $\sigma$ is $\lambda_1$, the first entry of the s …
6
votes
2answers
237 views
Viennot-type geometric description for dual RSK correspondence?
Is a geometric construction of the dual RSK correspondence along the lines of Viennot's "light and shadows construction" written up somewhere? This is a bijective correspondence be …
1
vote
0answers
116 views
What is the RSK correspondence for $G\wr S_n.$
What is the RSK correspondence for $G\wr S_n$?. Where can I read about this?
4
votes
3answers
401 views
RS to RSK correspondence
The RS correspondence is a correspondence which associates to each permutation a pair of standard Young tableaux of the same shape.
The RSK correspondence associates to each integ …
14
votes
1answer
413 views
Bruhat order and the Robinson-Schensted correspondence
The Robinson-Schensted correspondence is a bijection between elements of the symmetric group $S_n$ and pairs of standard tableaux of the same shape. The symmetric group is partial …
18
votes
0answers
336 views
Permutations, stopping times, Bessel functions, hook formula and Robinson-Schensted
For given counting number $n$, consider all permutations $\pi$ of {$1,\ldots,n$}, generate for every $\pi$ its Robinson-Schensted pair of standard tableaux $(P_\pi,Q_\pi)$ and aver …

