# Rationality and dense families of B(3) representations

@article{Bruyn2010RationalityAD, title={Rationality and dense families of B(3) representations}, author={Lieven Le Bruyn}, journal={arXiv: Rings and Algebras}, year={2010} }

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…

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