%0 Journal Article
%T Rationality and dense families of B(3) representations
%A Lieven Le Bruyn
%J Mathematics
%D 2010
%I arXiv
%X Every irreducible component of the variety of semi-simple n-dimensional representations of the modular group has a Zariski dense subset contained in the image of an etale map from a rational quotient variety of representations of a fixed quiver Q. As an application we prove that there is a unique component of 6-dimensional representations of the three string braid group B(3) able to detect braid-reversion. Further, we give explicit rational parametrizations of dense families of simple B(3)-representations in all dimensions < 12.
%U http://arxiv.org/abs/1003.1610v1