Abelian varieties genuinely of ${\mathrm{GL}}_n$-type

Francesc Fité, Enric Florit, Xavier Guitart

A simple abelian variety $A$ defined over a number field $k$ is called of ${\mathrm{GL}}_n$-type if there exists a number field of degree $2\dim (A)/n$ which is a subalgebra of $\math…