-
مقاله
1 - On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$Journal of Linear and Topological Algebra , شماره 5 , سال 5 , پاییز 2016We 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 چکیده کاملWe 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 and sufficient condition that guarantees the irreducibility of the complex specializationof the representation of the Hecke algebra $H(G_7, u)$. پرونده مقاله -
مقاله
2 - Irreducibility of the tensor product of Albeverio's representations of the Braid groups $B_3$ and $B_4$Journal of Linear and Topological Algebra , شماره 2 , سال 8 , بهار 2019We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$. We specialize the indeterminates used in defining these representations to non zero complex numbers. We then consider the tensor products of the representations چکیده کاملWe consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$. We specialize the indeterminates used in defining these representations to non zero complex numbers. We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$. We then determine necessary and sufficient conditions that guarantee the irreducibility of the tensor products of the representations of $B_3$. As for the tensor products of the representations of $B_4$, we only find sufficient conditions for the irreducibility of the tensor product. پرونده مقاله