2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153626Shiraishi's two parameter generalization of $U_{q}(sl(2))$ to $U_{q,p}(sl(2))$ involving an elliptic function is considered. The generators are mapped non-linearly on those of $U_{q}(sl(2))$. This gives directly the irreducible representations and an induced Hopf structure. This is one particular example of the scope of a class of non-linear maps introduced by us recently.Latex-file, 6 pagesQuantum AlgebraInduced Hopf stucture and irreducible representations of an elliptic $U_{q,p}(sl(2))$ via a nonlinear maptext