2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73276We give an axiomatic framework for studying the representation theory of towers of algebras. We introduce a new class of algebras, contour algebras, generalising (and interpolating between) blob algebras and cyclotomic Temperley-Lieb algebras. We demonstrate the utility of our formalism by applying it to this class.16 pages, 9 figuresRepresentation TheoryQuantum Algebra20C08text