On the classification of the real vector subspaces of a quaternionic vector space
Differential Geometry
2011-10-04 v3
Abstract
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.
Cite
@article{arxiv.1109.6467,
title = {On the classification of the real vector subspaces of a quaternionic vector space},
author = {Radu Pantilie},
journal= {arXiv preprint arXiv:1109.6467},
year = {2011}
}
Comments
9 pages, improved version