The Cayley Grassmannian
Algebraic Geometry
2016-02-08 v1
Abstract
We study the projective variety CG parametrizing four dimensional subalgebras of the complex octonions, which we call the Cayley Grass-mannian. We prove that it is a spherical G2-variety with only three orbits that we describe explicitely. Its cohomology ring has a basis of Schubert type classes and we determine the intersection product completely.
Keywords
Cite
@article{arxiv.1602.02127,
title = {The Cayley Grassmannian},
author = {Laurent Manivel},
journal= {arXiv preprint arXiv:1602.02127},
year = {2016}
}