Journal
JOURNAL OF ALGEBRA
Volume 503, Issue -, Pages 277-298Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2018.02.010
Keywords
Octonions; Grassmannian; Schubert classes; Cohomology ring; Spherical variety
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We study the projective variety CG parametrizing four dimenninnyl subalgebras of the complex octonions, which we call the Cayley Graasmannian. We prove that it is a spherical G(2)-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. (C) 2018 Elsevier Inc. All rights reserved.
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