Group theory and generalizations
1. On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$

M. Y. Chreif; M. Abdulrahim

Volume 05, Issue 04 , Autumn 2016, , Pages 263-270

  We consider a 2-dimensional representation of the Hecke algebra $H(G_7, u)$, where $G_7$ is the complex reflection group and $u$ is the set of indeterminates $u = (x_1,x_2,y_1,y_2,y_3,z_1,z_2,z_3)$. After specializing the indetrminates to non zero complex numbers, we then determine a necessary ...  Read More