skewKostkaNumbers {syt} | R Documentation |
Skew Kostka numbers
Description
Skew Kostka numbers associated to a given skew partition.
Usage
skewKostkaNumbers(lambda, mu, output = "vector")
Arguments
lambda , mu |
integer partitions defining the skew partition:
|
output |
the format of the output, either |
Details
The skew Kostka number is the number of skew
semistandard Young tableaux with shape
and weight
. The weight of a Young tableau is the
vector whose
-th element is the number of occurrences of
in this tableau.
Value
If output="vector"
, the function returns a named vector.
This vector is made of the positive skew Kostka numbers
and its names encode the partitions
.
If
ouput="list"
, the function returns a list. Each element of this
list is a named list with two elements: an integer partition
in the field named
"nu"
, and the corresponding skew Kostka number
in the field named
"value"
. Only the
non-null skew Kostka numbers are provided by this list.
See Also
KostkaNumber
, KostkaNumbersWithGivenMu
.
Examples
skewKostkaNumbers(c(4,2,2), c(2,2))