Some extensions of the properties of invariant polynomials proved by Davis (1980), Chikuse (1980), Chikuse and Davis (1986) and Ratnarajah et al. (2005) are given for symmetric and Hermitian matrices.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-5, author = {Jos\'e A. D\'\i az-Garc\'\i a}, title = {Generalisations of some properties of invariant polynomials with matrix arguments}, journal = {Applicationes Mathematicae}, volume = {38}, year = {2011}, pages = {469-475}, zbl = {1225.42017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-5} }
José A. Díaz-García. Generalisations of some properties of invariant polynomials with matrix arguments. Applicationes Mathematicae, Tome 38 (2011) pp. 469-475. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-5/