Geodesic
Evaluating the numbers of some skew standard Young tableaux of truncated shapes
Ping Sun1
1Northeastern University, P.R.China
The electronic journal of combinatorics, Tome 22 (2015) no. 1
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In this paper the number of standard Young tableaux (SYT) is evaluated by the methods of multiple integrals and combinatorial summations. We obtain the product formulas of the numbers of skew SYT of certain truncated shapes, including the skew SYT $((n+k)^{r+1},n^{m-1}) / (n-1)^r $ truncated by a rectangle or nearly a rectangle, the skew SYT of truncated shape $((n+1)^3,n^{m-2}) / (n-2) \backslash \; (2^2)$, and the SYT of truncated shape $((n+1)^2,n^{m-2}) \backslash \; (2)$.
DOI : 10.37236/3890
Classification : 05E10, 05D40, 05A15
Mots-clés : truncated shapes, standard Young tableaux, order statistics, Selberg integral

Ping Sun  1

1 Northeastern University, P.R.China 
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     author = {Ping Sun},
     title = {Evaluating the numbers of some skew standard {Young} tableaux of truncated shapes},
     journal = {The electronic journal of combinatorics},
     year = {2015},
     volume = {22},
     number = {1},
     doi = {10.37236/3890},
     zbl = {1305.05231},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3890/}
}
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Ping Sun. Evaluating the numbers of some skew standard Young tableaux of truncated shapes. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/3890

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