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

Part of: Global differential geometry Categories and geometry Basic constructions

Published online by Cambridge University Press:  03 April 2013

Radu Pantilie
Radu Pantilie*
Affiliation:
Institutul de Matematică ‘Simion Stoilow’ al Academiei Române, CP 1-764, 014700 Bucureşti, Romania (radu.pantilie@imar.ro)
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Abstract

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

Keywords

quaternionic geometrysheaves over the sphere

MSC classification

Secondary: 18F20: Presheaves and sheaves 53C26: Hyper-Kähler and quaternionic Kähler geometry, “special” geometry 53C28: Twistor methods 54B40: Presheaves and sheaves
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 615 - 622
Copyright
Copyright © Edinburgh Mathematical Society 2013

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