The set of all automorphisms of forms a group called The group is a simply connected, compact, real Lie group of dimension 14. This group is the smallest of the exceptional Lie groups and is isomorphic to the subgroup of that preserves any chosen particular vector in its 8 dimensional real spinor representation. The group is in turn a subgroup of the group of isotopies described below.
The set of all automorphisms of forms a group called The group is a simply connected, compact, real Lie group of dimension 14. This group is the smallest of the exceptional Lie groups and is isomorphic to the subgroup of that preserves any chosen particular vector in its 8 dimensional real spinor representation. The group is in turn a subgroup of the group of isotopies described below.