2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161049Let g be the finite dimensional Witt algebra W(1,1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W(1,1)-modules are finite dimensional. Each simple module admits a character χin g^*. Given such a χone can form the (finite dimensional) reduced enveloping algebra u(g,χ). The simple modules for u(g,χ) are precisely those simple W(1,1)-modules admitting the character χ. In this paper the authors compute Ext^1 between pairs of simple modules for u(g,χ).16 pages, 2 figuresRepresentation Theory17B55 (Primary); 17B68 (Secondary)text