Abstract
In [2] André deduced a (1−1) correspondence between the class of homogeneous coherent configurations and the class of certain noncommutative spaces which he called quasiaffine. In this note we establish a (1−1) correspondence between (not necessarily homogeneous) coherent configurations and weakly quasiaffine spaces which generalizes André's. Furthermore we consider some applications of this correspondence to quasiaffine spaces; especially we characterize such spaces with maximal diameter with respect to one direction (compare with [5]).
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References
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I thank Prof. J. André who suggested the present proof of (3.1) and made some other improvements in the manuscript.
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Hauptmann, W. On quasiaffine spaces and coherent configurations. J Geom 13, 90–100 (1979). https://doi.org/10.1007/BF01988558
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DOI: https://doi.org/10.1007/BF01988558