The Cayley Grassmannian
classification
🧮 math.AG
keywords
cayleybasiscallclassescohomologycompletelycomplexdescribe
read the original 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.
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