2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77653We study some non-semisimple representations of affine Temperley--Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra.27 pages, 3 EPS figuresRepresentation TheoryQuantum Algebra16D70, 16W80text