On the Linearized Artin Braid Representation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages. Frankfurt a. M. preprint

Scientific paper

We linearize the Artin representation of the braid group given by (right)
automorphisms of a free group providing a linear faithful representation of the
braid group. This result is generalized to obtain linear representations for
the coloured braid groupoid and pure braid group too. Applications to some
areas of two-dimensional physics are discussed.

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