Identifier
-
Mp00082:
Standard tableaux
—to Gelfand-Tsetlin pattern⟶
Gelfand-Tsetlin patterns
St001686: Gelfand-Tsetlin patterns ⟶ ℤ
Values
=>
Cc0007;cc-rep-0
Cc0018;cc-rep
[[1,2]]=>[[2,0],[1]]=>1
[[1],[2]]=>[[1,1],[1]]=>1
[[1,2,3]]=>[[3,0,0],[2,0],[1]]=>1
[[1,3],[2]]=>[[2,1,0],[1,1],[1]]=>2
[[1,2],[3]]=>[[2,1,0],[2,0],[1]]=>2
[[1],[2],[3]]=>[[1,1,1],[1,1],[1]]=>1
[[1,2,3,4]]=>[[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[1,3,4],[2]]=>[[3,1,0,0],[2,1,0],[1,1],[1]]=>3
[[1,2,4],[3]]=>[[3,1,0,0],[2,1,0],[2,0],[1]]=>3
[[1,2,3],[4]]=>[[3,1,0,0],[3,0,0],[2,0],[1]]=>3
[[1,3],[2,4]]=>[[2,2,0,0],[2,1,0],[1,1],[1]]=>2
[[1,2],[3,4]]=>[[2,2,0,0],[2,1,0],[2,0],[1]]=>2
[[1,4],[2],[3]]=>[[2,1,1,0],[1,1,1],[1,1],[1]]=>3
[[1,3],[2],[4]]=>[[2,1,1,0],[2,1,0],[1,1],[1]]=>3
[[1,2],[3],[4]]=>[[2,1,1,0],[2,1,0],[2,0],[1]]=>3
[[1],[2],[3],[4]]=>[[1,1,1,1],[1,1,1],[1,1],[1]]=>1
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Description
The order of promotion on a Gelfand-Tsetlin pattern.
Map
to Gelfand-Tsetlin pattern
Description
Sends a tableau to its corresponding Gelfand-Tsetlin pattern.
To obtain this Gelfand-Tsetlin pattern, fill in the first row of the pattern with the shape of the tableau.
Then remove the maximal entry from the tableau to obtain a smaller tableau, and repeat the process until the tableau is empty.
To obtain this Gelfand-Tsetlin pattern, fill in the first row of the pattern with the shape of the tableau.
Then remove the maximal entry from the tableau to obtain a smaller tableau, and repeat the process until the tableau is empty.
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