The General Subgroup Permanental-Dominance Conjecture in Order Four
The general subgroup permanental-dominance conjecture was previously known only through matrix order three. This paper proves its complete order-four case: for every subgroup $H\leq S_4$, every irreducible complex character $\chi$ of $H$, and every $4\times 4$ Hermitian positive-semidefinite matrix $A$, it establishes...