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On isometric full embeddings of symplectic dual polar spaces into Hermitian dual polar spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bruyn, Bart De |
| Copyright Year | 2008 |
| Abstract | Let n ≥ 2, let K, K′ be fields such that K′ is a quadratic Galoisextension of K and let θ denote the unique nontrivial element in Gal(K′/K). Suppose the symplectic dual polar space DW (2n− 1, K) is fully and isometrically embedded into the Hermitian dual polar space DH(2n − 1, K′, θ). We prove that the projective embedding of DW (2n − 1, K) induced by the Grassmann-embedding of DH(2n − 1, K′, θ) is isomorphic to the Grassmann-embedding of DW (2n−1, K). We also prove that if n is even, then the set of points of DH(2n − 1, K′, θ) at distance at most n2 −1 from DW (2n−1, K) is a hyperplane of DH(2n − 1, K′, θ) which arises from the Grassmann-embedding of DH(2n− 1, K′, θ). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://biblio.ugent.be/publication/879154/file/879170.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Dreamwidth Dual Embedding Isometric projection Symplectic integrator |
| Content Type | Text |
| Resource Type | Article |
