In this note we prove that the -points of the representation Artin-stack of n-dimensional representations of an affine -algebra R correspond to -algebra morphisms R â 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 [99. Liu , C.-H. , Yau , S.-T. ( 2007 ). Azumaya-Type Noncommutative Spaces and Morphisms Therefrom: Polchinski's D-branes in String Theory from Grothendieck's Viewpoint. arXiv[math/0709.1515]View all references]-[1414. Liu , C.-H. , Yau , S.-T. ( 2010 ). D-branes and Azumaya Noncommutative Geometry: From Polchinski to Grothendieck. View all references].View full textDownload full textKey WordsD-branes, Representation schemes, Stacks2000 Mathematics Subject ClassificationPrimary 14A20, Secondary 16R30, 14A22Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2011.592518
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机译：在本注释中，我们证明了仿射-代数R的n维表示形式的Artin堆栈的表示点-对应于-代数态R†A n ，其中A n 是n之上C的Azumaya代数。我们将其与由Chien-Hao Liu和丘成桐在一系列文章中开发的D-branes和Azumaya非交换几何理论联系起来[99。刘建华，丘，S.-T。 （2007）。 Azumaya型的非交换空间和由此产生的形态：从格洛腾迪克的观点来看，波尔钦斯基的弦理论中的D谱。 arXiv [math / 0709.1515]查看所有参考文献]-[1414。刘建华，丘，S.-T。 （2010）。 D谱和Azumaya非交换几何：从Polchinski到Grothendieck。查看全部参考文献]。 ，delicious，linkedin，facebook，stumbleupon，digg，google，more“，发布号：” ra-4dff56cd6bb1830b“};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927872.2011.592518
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