For questions on the Young tableau, a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.
Questions tagged [young-tableaux]
194 questions
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How many Young tableaux of size 6 are there?
How many Young tableaux of size 6 are there? I have come up with the number 76, by counting the number of every possible Young tableau of weight 6, namely
{6}, {5,1}, {4,2}, {4,1,1}, {3,3}, {3,2,1}, {3,1,1,1}, {2,2,2},
{2,2,1,1}, {2,1,1,1,1},…
John Doe
- 502
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Young-Tableau Exercise Solution Help
i have the following definition of a young tableau:
A Young tableau is an m × n matrix ($t_{i,j}$) with entries from N ∪ {∞}, for which it holds that in each row and each column the values ascend from left to right and from top to bottom,…
456c526f
- 41
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Semi-standard Young Tableau symmetries from RSK on n-letter words
Preamble: Every n-letter word $w$ constructed from a n-letter alphabet is uniquely mapped by the RSK algorithm to a couple of tableaux P and Q, where P is a semi-standard Young tableau (SSYT) and Q is a standard Young tableau (SYT). P is then a SSYT…
Wouter M.
- 910
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1 answer
Questions about young tableaux product operation
I am reading the book "Young tableaux with application" by Fulton W. There is claim says that
"The product operation makes the set of tableaux into an associative monoid"
Where the product operation between two tableaux $T$ and $U$ is defined as…
user368131