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

Published online by Cambridge University Press:  03 April 2013

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2013

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