Lieven Le Bruyn's Publications

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Matrix transposition and braid reversion

Lieven LeBruyn. Matrix transposition and braid reversion. arXiv/math.RA, 1102.4188, 2011.

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Abstract

Matrix transposition induces an involution on the isomorphism classes of semi-simple n-dimensional representations of the three string braid group. We show that a connected component of this variety can detect braid-reversion or that the involution acts as the identity on it. We classify the fixed-point components.

BibTeX

 @article{LeBruyn2011a,
   author={LeBruyn, Lieven},
   title={Matrix transposition and braid reversion},
   year={2011},
   abstract={Matrix transposition induces an involution on the isomorphism classes of semi-simple n-dimensional representations of the three string braid group. We show that a connected component of this variety can detect braid-reversion or that the involution acts as the identity on it. We classify the fixed-point components.},
   bib2html_pubtype ={Papers},
   bib2html_rescat ={Representation Theory},
    journal={arXiv/math.RA},
  volume={1102.4188},
  language={English},
  bib2html_dl_html={http://arxiv.org/abs/1102.4188}
  }

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