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Tagged with young-tableaux number-theory
3
questions
2
votes
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answers
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Counting Semistandard Young Tableaux For Triangular Shapes?
If $k \leq n$ I denote the Young diagram with shape $(n,n-1,n-2,\ldots,1)$ by $\lambda^{n,n-1,\ldots,1}$. I write $f^{\lambda_n^{n,n-1,\ldots,1}}$ to count the number of semistandard Young tableaux ...
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1
answer
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Counting the number of semistandard Young Tableaux with maximum entry $n.$ Reference/Formula request
Question: If $k \leq n$ let $\lambda_k$ be a Young diagram with square $k \times k$ shape. I write $\#_{\lambda_{k}^n}$ to count the
number of semistandard Young tableaux with shape $\lambda_k$ and
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0
votes
0
answers
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Part sum of a partition of a positive integer $n$
Let $\lambda = (\lambda_1,\lambda_2,\ldots,\lambda_p)$ be a partition of a positive integer $n$. We call $\lambda_i$ a part of $\lambda$. I am interested in the sum of arbitrary parts of $\lambda$.
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