2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173915To any 2x2-matrix K one assigns a commutative subalgebra B^{K}\subset U(gl_2[t]) called a Bethe algebra. We describe relations between the Bethe algebras, associated with the zero matrix and a nilpotent matrix.New references addedQuantum AlgebraThe gl_2 Bethe algebra associated with a nilpotent elementtext