In 1996, Graham and Lehrer introduced the notion of cellular algebra. Graham and Lehrer proved that many known algebras are cellular, for instance: the Ariki-Koike algebra (this includes the Iwahori-Hecke algebras of type A and B), the Brauer algebra, the Temperley-Lieb algebra. Namely, the latter algebra has been introduced in connection with statistical mechanics. Later, using some deep properties of Kazhdan-Lusztig bases Geck proved that the Iwahori-Hecke algebra associated with any finite Coxeter group (or, equivalently, any real reflection group) is cellular. In this talk, I will introduce the notion of skew cellular algebra that we developed in a joint work with Jun Hu and Andrew Mathas. This notion generalises Graham and Lehrer’s definition of cellular algebra; our main result is that the Hecke algebra associated with any irreducible complex reflection group G(r,p,n) of the infinite series (that is, all but finitely many irreducible complex reflection groups) is a skew cellular algebra. We will also give the example of the Temperley-Lieb algebra of $G(r,p,n)$, introduced recently by Lehrer-Lyu, which, using our machinery of skew cellular algebras, was shown to be cellular.