On the Linearized Artin Braid Representation
High Energy Physics - Theory
2008-02-03 v1 Group Theory
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.hep-th/9210020,
title = {On the Linearized Artin Braid Representation},
author = {F. Constantinescu and F. Toppan},
journal= {arXiv preprint arXiv:hep-th/9210020},
year = {2008}
}
Comments
13 pages. Frankfurt a. M. preprint