The hook of a cell is the cell itself, everything to its right in the
row, and everything below it in the column:
\(h(i,j) = \lambda_i - j + \lambda'_j - i + 1\).
Usage
morie_hook_lengths(shape)
Arguments
- shape
Integer vector, weakly decreasing, all parts positive.
Value
A list with hooks (a list of integer vectors, row-major),
product, shape, conjugate, n.
References
Frame JS, Robinson G de B, Thrall RM (1954)
Canad J Math 6:316-324.
Examples
morie_hook_lengths(shape = 5L)
#> $hooks
#> $hooks[[1]]
#> [1] 5 4 3 2 1
#>
#>
#> $product
#> [1] 120
#>
#> $shape
#> [1] 5
#>
#> $conjugate
#> [1] 1 1 1 1 1
#>
#> $n
#> [1] 5
#>
