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arxiv: 1109.6467 · v3 · pith:MPNFGZ7Pnew · submitted 2011-09-29 · 🧮 math.DG

On the classification of the real vector subspaces of a quaternionic vector space

classification 🧮 math.DG
keywords vectorquaternionicrealspaceclassificationsubspacesassociatescoherent
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We prove the classification of the real vector subspaces of a quaternionic vector space by using a covariant functor which, to any pair formed of a quaternionic vector space and a real subspace, associates a coherent sheaf over the sphere.

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