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.
Changed C++20 to C++17.
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