Prehomogeneous spaces associated with complex nilpotent orbits

Prehomogeneous Spaces Associated with Nilpotent Orbits in Type Evi

Prehomogeneous Spaces Associated with Nilpotent Orbits in Type Eii

Nilpotent orbits in type EII Orbit KC diagram i dim g i C ∩ kC Highest weights of gC ∩ kC 1. d 0 d 0 d 1 d 0 d 0 d 1 1 10 (1, 0, 0, 0, 1, 0) (0, 0, 0, 0, 0, 2) 2. d 1 d 0 d 0 d 0 d 1 d 2 1 8 (1, 0, 0, 1,−1, 0) (−1, 1, 0, 0, 1, 0) 2 2 (1, 0, 0, 0, 1, 0) (0, 0, 0, 0, 0, 2) 3. d 0 d 1 d 0 d 1 d 0 d 0 1 8 (1, 0, 1,−1, 0, 0) (0,−1, 1, 0, 1, 0) 2 4 (1, 0, 0, 0, 1, 0) 4. d 0 d 0 d 1 d 0 d 0 d 3 1 9 (1...

Prehomogeneous Spaces Associated with Nilpotent Orbits in Type Ev

Prehomogeneous Spaces Associated with Nilpotent Orbits in E7(c)

Prehomogeneous Spaces Associated with Nilpotent Orbits in Type Eviii