## Exceptional symmetric spaces with quaternionic structure

Following this and this question I found following chain of exceptional symmetric spaces being quaternionic manifolds. I listed dimensions as superscripts for reader convenience. F28I⊂E40II⊂E64VI⊂E112IX It corresponds to following chain of algebras: ˜O⊂C⊗˜O⊂H⊗˜O⊂O⊗˜O ˜O is algebra of split octonions. One can see that codimensions of above three inclusions are 12, 24, 48. The above symmetric … Read more