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

مقاله 4، دوره 05، شماره 04، اسفند 2016، صفحه 263-270   

نوع مقاله: Research Paper

نویسندگان

M. Y. Chreif؛ M. Abdulrahim^*

Department of Mathematics, Beirut Arab University, PO. Box 11-5020, Beirut, Lebanon

چکیده

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 and sufficient condition that guarantees the irreducibility of the complex specialization of the representation of the Hecke algebra $H(G_7, u)$.

کلیدواژه‌ها

Braid group؛ Hecke algebra؛ irreducible؛ reflections

مراجع

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