Abstract: Several diagram algebras (like group algebras of symmetric groups or braid groups) arise as endomorphisms of tensor spaces that commute with classical Lie groups, Lie algebras, quantum groups, etc.. The commutator relationships provide amazing representation theoretic tools, and reveal beautiful combinatorial structure. In this talk I will describe how the affine type C Hecke algebra H arises as a diagram algebra. I will describe three ways of encoding irreducible representations of H--two classifications coming from the internal structure of the algebra (involving hyperplane and box arrangements) and one arrising from its cetralizer relationships (involving partitions and tableaux)--and show how to move between these encodings.