Some minor modifications have been necessary due to the updates of some package dependencies. No change for the user.
The KostkaNumbers function has been renamed to KostkaJackNumbers and
it has a new argument alpha, to compute the Kostka-Jack numbers (Kostka
numbers with a Jack parameter) with Jack parameter alpha (for alpha=1
these are the ordinary Kostka numbers) for all partitions having a given weight.
New function KostkaJackNumbersWithGivenLambda, to compute the Kostka-Jack
numbers with a given Jack parameter and a given partition lambda.
New function symbolicKostkaJackNumbers, to get the Kostka-Jack numbers
with a symbolic Jack parameter for all partitions having a given weight.
New function symbolicKostkaJackNumbersWithGivenLambda, to get the
Kostka-Jack numbers with a symbolic Jack parameter for a given partition
lambda.
New function skewKostkaJackNumbers, to get skew Kostka-Jack numbers with a
given Jack parameter.
New function symbolicSkewKostkaJackNumbers, to get skew Kostka-Jack numbers
with a symbolic Jack parameter.
New function JackCombination, to get a symmetric polynomial as a linear
combination of some Jack polynomials with a fixed Jack parameter.
New function symbolicJackCombination, to get a symmetric polynomial as a
linear combination of some Jack polynomials with symbolic Jack parameter.
New function SkewJackPol, to get a skew Jack polynomial with a given Jack
parameter.
New function SkewJackSymPol, to get a skew Jack polynomial with a symbolic
Jack parameter.
New function flaggedSchurPol, to get a flagged Schur polynomial.
New function flaggedSkewSchurPol, to get a flagged skew Schur polynomial.
New function factorialSchurPol, to get a factorial Schur polynomial.
New function SkewFactorialSchurPol, to get a skew factorial Schur polynomial.
New function tSchurPol, to get a t-Schur polynomial.
New function tSkewSchurPol, to get a skew t-Schur polynomial.
New function KostaFoulkesPolynomial, to get a Kostka-Foulkes polynomial.
A Kostka-Foulkes polynomial is a univariate polynomial associated to a pair of
integer partitions and its value at 1 is the Kostka number associated to these
partitions.
New function SkewKostkaFoulkesPolynomial, to get a skew Kostka-Foulkes
polynomial.
New function HallLittlewoodPol, to get a Hall-Littlewood polynomial. A
Hall-Littlewood polynomial is a multivariate symmetric polynomial associated
to an integer partition and depending on a parameter. When the value of this
parameter is 0, then this is the Schur polynomial, and when the value of this
parameter is 1, then this is the monomial symmetric polynomial.
New function SkewHallLittlewoodPol, to get a skew Hall-Littlewood
polynomial. A skew Hall-Littlewood polynomial is a multivariate symmetric
polynomial associated to a skew integer partition and depending on a parameter.
When the value of this parameter is 0, then this is the skew Schur polynomial.
New function qtKostkaPolynomials, to get qt-Kostka polynomials,
aka Kostka-Macdonald polynomials.
New function qtSkewKostkaPolynomials, to get skew qt-Kostka
polynomials.
New function MacdonaldPol, to get a Macdonald polynomial.
New function SkewMacdonaldPol, to get a skew Macdonald polynomial.
New function modifiedMacdonaldPol, to get a modified Macdonald
polynomial.
New function HallPolynomials, to get the Hall polynomials.
It is now possible to get a Jack polynomial with a symbolic Jack parameter
in its coefficients. Such polynomials are returned by the function JackSymPol.
This big progress is the reason for which I increased the major component of
the version of the package.
Since the functions implemented with Rcpp are highly more efficient,
the functions Jack, JackPol, Schur, SchurPol, Zonal, ZonalPol,
ZonalQ, ZonalQPol, have been renamed to JackR, JackPolR, SchurR,
SchurPolR, ZonalR, ZonalPolR, ZonalQR, ZonalQPolR, and the functions
JackCPP, JackPolCPP, SchurCPP, SchurPolCPP, ZonalCPP, ZonalPolCPP,
ZonalQCPP, ZonalQPolCPP have been renamed to Jack, JackPol, Schur,
SchurPol, Zonal, ZonalPol, ZonalQ, ZonalQPol.
New function LRmult, to compute the expression of the product of two Schur
polynomials as a linear combination of Schur polynomials, using the
Littlewood-Richardson rule.
New function LRskew, to compute the expression of a skew Schur
polynomial as a linear combination of Schur polynomials, using the
Littlewood-Richardson rule.
Based on LRskew, the new function SkewSchurPol computes the skew Schur
polynomial of a given skew partition.
Actually there are four possible Jack polynomials of a given partition for a
given alpha, denoted by J, C, Q or P (they are the same up to a
normalization constant). It is now possible to get any of them (the previous
versions only allowed to get the J polynomial).
The Julia stuff has been removed.
SchurCPP, JackCPP, ZonalCPP and ZonalQCPP) are not
restricted to rational numbers: they also allow double numbers.SchurCPP, JackCPP, ZonalCPP and ZonalQCPP.Changed C++20 to C++17.
SchurPolCPP, JackPolCPP, ZonalPolCPP and ZonalQPolCPP. It is faster
than the Julia implementation.Now one can use a bigq number for alpha in JackPol, thanks to the
'gmpoly' package, and one can use exact=TRUE with algorithm=DK for
ZonalPol, ZonalQPol and SchurPol.
Now one can get a gmpoly polynomial with Julia.
Jack_julia, to evaluate the polynomials with Julia.Fixed a test of empty partition
Added more checks of parameters validity
Added more unit tests
Improved documentation