@article {
author = {Chreif, M. Y. and Abdulrahim, M.},
title = {On the irreducibility of the complex specialization of the representation of the Hecke algebra of the complex reflection group $G_7$},
journal = {Journal of Linear and Topological Algebra ( JLTA )},
volume = {05},
number = {04},
pages = {263-270},
year = {2016},
publisher = {Central Tehran Branch, Islamic Azad University},
issn = {2252-0201},
eissn = {2345-5934},
doi = {},
abstract = {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 $H(G_7, u)$.},
keywords = {Braid group,Hecke algebra,irreducible,reflections},
url = {http://jlta.iauctb.ac.ir/article_525145.html},
eprint = {http://jlta.iauctb.ac.ir/article_525145_c823f0b9a87e816b0e0d7866259cf663.pdf}
}