The files below contains results related to properties of Jack polynomials and their particular cases (Zonal polynomials, Quaternionic (symplectic) polynomials, Schur polynomials, etc).
Many results were obtained by using the Mathematica package SymPol$Package also available on this web site (there).
The software (code) and the results displayed in the files available on this personal web site can be freely downloaded but they are provided "as they are" without warranty of any kind about their reliability. They should only be considered as private working documents that are made available on line by their author.
The results given in ZonalStructureConstantsResults are mentioned and used in the article :
" The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices"
by R. Coquereaux and J.-B. Zuber (September 2018), link to arxiv
Mathematica Notebook ZonalStructureConstantsResults.nb
html file
ZonalStructureConstantsResults.html
pdf file
ZonalStructureConstantsResults.pdf
text file ZonalStructureConstantsResults.txt
rtf file ZonalStructureConstantsResults.rtf
Mathematica Notebook: Manipulate ListPlot3D of square of s[1,1] for s = 3.
ManipulateAdjointSquare.nb
CDF file (for Wolfram Player): Manipulate ListPlot3D of square of s[1,1] for s = 3. ManipulateAdjointSquare.cdf