Schatten norms and determinants of linear combinations of matrix tensor powers via virtual representations

Martin Áron Juhász, Mihály Weiner

Let $$X_n=\sum _{i=1}^s{t}_i{A}_i^{\otimes n},$$ where $A_1,\dots ,A_s\in M_d(\mathbb{C})$ and $t_1,\dots ,t_s\in \mathbb{C}$ are fixed, while $n$ grows. Direct computation of determinan…