We are attempting to give a new proof to the problem of characterization of the support of the product of conjugacy classes in the compact Lie group SU$(n)$ without any reference to the Mehta-Seshadri theorem in algebraic geometry as it was the case in [1]
J. Gen. Lie Theory Appl.
4:
1-11
(2010).
DOI: 10.4303/jglta/G090902