KostkaNumbersWithGivenLambda {syt} | R Documentation |
Kostka numbers with given \lambda
Description
Lists all positive Kostka numbers K(\lambda,\mu)
with
a given partition \lambda
.
Usage
KostkaNumbersWithGivenLambda(lambda, output = "vector")
Arguments
lambda |
integer partition |
output |
the format of the output, either |
Value
If output="vector"
, this function returns a named vector.
This vector is made of the non-zero (i.e. positive) Kostka numbers
K(\lambda,\mu)
, which are integers, and its names encode the
partitions \mu
.
If output="list"
, this function returns a list of lists.
Each of these lists has two
elements. The first one is named mu
and is an integer
partition, and the second one is named value
and is a positive
integer, the Kostka number K(\lambda,\mu)
. It is faster to
compute the Kostka numbers with this function than computing the
individual Kostka numbers with the function KostkaNumber
.
See Also
KostkaNumber
, KostkaNumbers
,
KostkaNumbersWithGivenMu
.
Examples
KostkaNumbersWithGivenLambda(c(2, 1, 1))