Simplification of the Laplace-Beltrami operator
The zonal polynomials are symmetric polynomial functions each of which is an eigenfunction of a kind of Laplace-Beltrami operator. We give a simplification of the Laplace-Beltrami operator. We realize a symbolic algorithm for obtaining the coefficients of zonal polynomials. (C) 2000 IMACS/Elsevier Science B.V. All rights reserved.
zonal polynomials elementary symmetric polynomials normal population