2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77254Following the construction of the invariant integral and the scalar product for the quantum Euclidean group E_q(2), we obtained the full matrix elements of its unitary irreducible representations from SU_q(2) by contraction and then derived the Planscherel measure.Latex, 17 pagesQuantum AlgebraPlanscherel Measure on E_q(2)text