• Corpus ID: 17859581

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}
}
  • L. L. Bruyn
  • Published 8 March 2010
  • Mathematics
  • arXiv: Rings and Algebras
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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