Lieven Le Bruyn's Publications

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Rationality and dense families of B(3) representations

Lieven LeBruyn. Rationality and dense families of B(3) representations. arXiv/math.RA, 1003.1610, 2010.

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Abstract

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.

BibTeX

   @article{LeBruyn2010a,
   author={LeBruyn, Lieven},
   title={Rationality and dense families of B(3) representations},
   year={2010},
   abstract={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.},
   bib2html_pubtype ={Papers},
   bib2html_rescat ={Representation Theory},
    journal={arXiv/math.RA},
  volume={1003.1610},
  language={English},
  bib2html_dl_html={http://arxiv.org/abs/1003.1610}
  }

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