2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125098We consider the generalization of Kleshchev's lowering operators obtained by raising all the Carter-Lusztig operators in their definition to a power less than the characteristic of the ground field. If we apply such an operator to a nonzero GL_{n-1}-high weight vector of an irreducible representation of GL_n, shall we get a nonzero GL_{n-1}-high weight vector again? The present paper gives the explicit answer to this question. In this way we obtain a new algorithm for generating some normal weights.to appear in Communications in AlgebraRepresentation Theory20G05text