Projective Representations I. Projective lines over rings
نویسندگان
چکیده
We discuss representations of the projective line over a ring R with 1 in a projective space over some (not necessarily commutative) field K. Such a representation is based upon a (K,R)-bimodule U . The points of the projective line over R are represented by certain subspaces of the projective space P(K,U ×U) that are isomorphic to one of their complements. In particular, distant points go over to complementary subspaces, but in certain cases, also non-distant points may have complementary images. Mathematics Subject Classification (1991): 51C05, 51A45, 51B05.
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تاریخ انتشار 2000