2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62702We calculate the exchange relations of vertex operators of $U_q(\hat{sl_2})$ at level-two from its bosonic realization. The corresponding invertibility relation of type I vertex operators is also studied.LaTex file 11pagesQuantum AlgebraMathematical PhysicsRepresentation TheoryExchange relations of Level-two vertex operators of $U_q(\hat{sl_2})$text