2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171321We prove that the center of an infinitesimal Cherednik algebra of $\mf{gl}_2$ is the polynomial algebra of two variables over the field of characteristic 0. In positive characteristic we show that any infinitesimal Cherednik algebra is a finitely generated module over its center.10 pages, all comments are welcomeRepresentation TheoryQuantum Algebratext