| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8896154 | Journal of Algebra | 2018 | 22 Pages |
Abstract
We study the projective variety CG parametrizing four dimensional subalgebras of the complex octonions, which we call the Cayley Grassmannian. We prove that it is a spherical G2-variety with only three orbits that we describe explicitly. Its cohomology ring has a basis of Schubert type classes and we determine the intersection product completely.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Laurent Manivel,