Field extensions and isotropic subspaces
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Dae San Kim; Patrick Rabau
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Article
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1990
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Springer
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English
β 571 KB
Let L/k be a finite field extension and let (V, B) be a finite dimensional symplectic space over L. We examine the action of the symplectic group SPL(V) on the set of B'-isotropic ksubspaces of V, where B' = ~p o B is the k-symplectic form induced by a 'trace' map tp: L --, k. The orbits are complet