Lieven Le Bruyn's Publications

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Representation stacks, D-branes and noncommutative geometry

Lieven LeBruyn. Representation stacks, D-branes and noncommutative geometry. arXiv/math.RA, 1009.5203, 2010.

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Abstract

In this note we prove that the spec(C)-points of the representation Artin-stack [rep_n R/PGL_n] of n-dimensional representations of an affine algebra R correspond to algebra morphisms R-->A where A is an Azumaya algebra of degree n over C. We connect this to the study of D-branes and Azumaya noncommutative geometry, developed by Chien-Hao Liu and Shing-Tung Yau in a series of papers from arXiv:0709.1515 to arXiv:1003.1178

BibTeX

  @article{LeBruyn2010b,
   author={LeBruyn, Lieven},
   title={Representation stacks, D-branes and noncommutative geometry},
   year={2010},
   abstract={In this note we prove that the spec(C)-points of the representation Artin-stack [rep_n R/PGL_n] of n-dimensional representations of an affine algebra R correspond to algebra morphisms R-->A where A is an Azumaya algebra of degree n over C. We connect this to the study of D-branes and Azumaya noncommutative geometry, developed by Chien-Hao Liu and Shing-Tung Yau in a series of papers from arXiv:0709.1515 to arXiv:1003.1178},
   bib2html_pubtype ={Papers},
   bib2html_rescat ={Representation Theory},
    journal={arXiv/math.RA},
  volume={1009.5203},
  language={English},
  bib2html_dl_html={http://arxiv.org/abs/1009.5203}
  }

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