Determinants of Subquotients of Galois Representations Associated to Abelian Varieties

Eric Larson, Dmitry Vaintrob

Given an abelian variety $A$ of dimension $g$ over a number field $K$, and a prime $\ell$, the ${\ell }^n$-torsion points of $A$ give rise to a representation $ρ_{A, \ell^n} : \gal(\b…