Rank of the derivative of the projection to symmetrized polydisc
arXiv:2406.18302
Abstract
We prove that the rank of the derivative of the projection from spectral unit ball to symmetrized polydisc is equal to the degree of the minimal polynomial of the matrix at which we take derivative.
7 pages, 0 figure. This small result was made in 2015 during my stay at Paul Sabatier University where I worked with my supervisor Pascal J. Thomas