Krammer's Representation of the Pure Braid Group, P3
نویسندگان
چکیده
We consider Krammer’s representation of the pure braid group on three strings: P3 → GL 3, Z t±1, q±1 , where t and q are indeterminates. As it was done in the case of the braid group, B3, we specialize the indeterminates t and q to nonzero complex numbers. Then we present our main theorem that gives us a necessary and sufficient condition that guarantees the irreducibility of the complex specialization of Krammer’s representation of the pure braid group, P3.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2010 شماره
صفحات -
تاریخ انتشار 2010