A Basic <img src=image/13425240_01.gif> Dimensional Representation of Artin Braid Group <img src=image/13425240_02.gif>, and a General Burau Representation
Abstract:Braid groups and their representations are at the center of study, not only in low-dimensional topology, but also in many other branches of mathematics and theoretical physics. Burau representation of the Artin braid group which has two versions, reduced and unreduced, has been the focus of extensive study and research since its discovery in 1930's. It remains as one of the very important representations for the braid group. Partly, because of its connections to the Alexander polynomial which is one of the fir… Show more
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