2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64879We discuss a certain class of absolutely irreducible group representations that behave nicely under the restriction to normal subgroups and subalgebras. These representations proved to be useful for the construction of abelian varieties with small endomorphism rings.LaTeX2e, 14 pages We added a discussion of interrelations between very simple representations and doubly transitive permutation groupsGroup TheoryAlgebraic Geometry20C25; 20C07; 14H40text