2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153500Central extension $\DYg$ of the Double of the Yangian is defined for a simple Lie algebra ${\bf g}$ with complete proof for ${\bf g} =sl_2$. Basic representations and intertwining operators are constructed for $\DY2$.12 pages, latex, no figuresQuantum AlgebraHigh Energy Physics - TheoryCentral Extension of the Yangian Doubletext