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