2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131834We show that any bijection between two root systems that preserves angles (but not necessarily lengths) gives rise to inequalities relating tensor product multiplicities for the corresponding complex semisimple Lie groups (or Lie algebras). We explain the inequalities in two ways: combinatorially, using Littelmann's Path Model, and geometrically, using isogenies between algebaric groups defined over an algebraically closed field of positive characteristic.11 pagesRepresentation TheoryAlgebraic Geometry22E46, 14L30Special isogenies and tensor product multiplicitiestext