On the Irreducibility of the Complex Specialization of the Representation of The Hecke Algebra of the Complex Reflection Group $G_7$

Mohammad Y. Chreif, Mohammad N. Abdulrahim

We consider a 2-dimensional representation of the Hecke algebra $\mathcal{H}(G_7,u)$, where $G_7$ is the complex reflection group and $u$ is the set of indeterminates $u=(x_1, x_2…