Projective Representations I. Projective lines over rings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2013
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| _version_ | 1866909100632178688 |
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| author | Blunck, Andrea Havlicek, Hans |
| author_facet | Blunck, Andrea Havlicek, Hans |
| contents | 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 $P(K,U\times U)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_0098 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Projective Representations I. Projective lines over rings Blunck, Andrea Havlicek, Hans Algebraic Geometry Rings and Algebras 51C05, 51A45, 51B05 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 $P(K,U\times U)$ 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. |
| title | Projective Representations I. Projective lines over rings |
| topic | Algebraic Geometry Rings and Algebras 51C05, 51A45, 51B05 |
| url | https://arxiv.org/abs/1304.0098 |