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Results tagged with young-tableaux
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user 9672
For standard Young tableaux, semistandard Young tableaux, and other related two-dimensional arrays of numbers like plane partitions. Including their combinatorial theory and their application in representation theory and algebraic geometry.
3
votes
Accepted
Correspondence between $SBT (n)$ and $W(B_n)$
Before getting into my answer, let me explain what I understand by a bitableau of size $n$ (I hope it is the same as what you mean). This is a pair of tableaux $(P, P')$, where each of the integers $1 …
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0
votes
LGV scheme for lattice paths that move in non-unit spatial positive steps
The LGV lemma does not really require nodes to lie in a plane. In fact the statement is very simple without any geometric assumptions on the nodes. The role of the spatial arrangement of nodes is usua …
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5
votes
3
answers
1k
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 integer matrix (with non- …
- 5,654
10
votes
2
answers
805
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 between 0-1 matrices a …
- 5,654
3
votes
Accepted
Viennot-type geometric description for dual RSK correspondence?
It's all written up rather nicely in Heather Dornom's Honours thesis from 2005. She gives a version of the matrix ball construction that works in these cases and also explains growth models for the RS …
- 5,654
5
votes
Accepted
Induced representation of a Young subgroup
The answer is a special case of Young's rule. In my book, I give a very simple method for the slightly easier case where $r=0$. In that case we have:
$$
\mathrm{Ind}_{S_k\times S_l}^{S_n} = \bigoplus_ …
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