On the construction of a class of invariant polynomials in several matrices, extending the zonal polynomials
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The construction of a class of invariant polynomials in several matrices extending the zonal polynomials is discussed. The method adopted generalized the orginal group-theoretic approach of James . A table of three-matrix polynomials up to degree 5 is presented.
AMS 1970 subject classification62E15 62H10
Key words and phrasesInvariant polynomials zonal polynomials group representations multivariate distributions Young tableaux
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