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Title
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Representation stacks, D-branes and noncommutative geometry
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Author
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Abstract
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| 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 C-algebra R correspond to C-algebra morphisms R --> A(n) where A(n) is an Azumaya algebra of degree n over C. We connect this to the theory of D-branes and Azumaya noncommutative geometry, developed by Chien-Hao Liu and Shing-Tung Yau in a series of articles [9]-[14]. |
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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
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2012
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ISSN
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0092-7872
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DOI
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10.1080/00927872.2011.592518
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Volume/pages
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40
:10
(2012)
, p. 3636-3651
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ISI
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000309120100005
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Full text (Publisher's DOI)
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