Abstract
In this note we prove that the -points of the representation Artin-stack
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 [Citation9]–[Citation14].
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Notes
Communicated by L. Small.