KostkaJackNumbers {jack} | R Documentation |
Kostka-Jack numbers with a given Jack parameter
Description
Kostka numbers with Jack parameter, or Kostka-Jack numbers, for partitions of a given weight and a given Jack parameter.
Usage
KostkaJackNumbers(n, alpha = "1")
Arguments
n |
positive integer, the weight of the partitions |
alpha |
the Jack parameter, a |
Details
The Kostka-Jack number is the
coefficient of the monomial symmetric polynomial
in the
expression of the
-Jack polynomial
as a
linear combination of monomial symmetric polynomials. For
it is the ordinary Kostka number.
Value
The matrix of the Kostka-Jack numbers
given as character strings representing integers or fractions.
The row names of this matrix encode the partitions
and
the column names encode the partitions
See Also
KostkaJackNumbersWithGivenLambda
,
symbolicKostkaJackNumbers
,
skewKostkaJackNumbers
.
Examples
KostkaJackNumbers(4)
[Package jack version 6.1.0 Index]