2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168495Let $F$ be an algebraically closed field of characteristic $p$. We fashion an infinite dimensional basic algebra $\underleftarrow{\mathcal{C}}_p(F)$, with a transparent combinatorial structure, which we expect to control the rational representation theory of $GL_2(F)$.27 pagesRepresentation Theory20G05; 16GXXRational representations of $GL_2$text