Prehomogeneous Spaces Associated with Nilpotent Orbits in Type Ei

@inproceedings{Nol2004PrehomogeneousSA,
  title={Prehomogeneous Spaces Associated with Nilpotent Orbits in Type Ei},
  author={Alfred G. No{\"e}l},
  year={2004}
}
Nilpotent orbits in type EII Orbit KC diagram i dim g i C ∩ pC Highest weights of gC ∩ pC 1. d 0 d 0 d 1 d 0 d 0 d 1 1 10 (0, 1,−1, 1, 0, 1) (0, 0, 1, 0, 0,−1) 2 1 (0, 0, 1, 0, 0, 1) 2. d 1 d 0 d 0 d 0 d 1 d 2 1 8 (0, 1, 0, 0,−1, 1) (−1, 0, 0, 1, 0, 1) 2 6 (0, 0, 1, 0, 0, 1) 3. d 0 d 1 d 0 d 1 d 0 d 0 1 8 (0, 1, 0,−1, 1, 1) (1,−1, 0, 1, 0, 1) 2 4 (0, 0, 1, 0, 0, 1) 4. d 0 d 0 d 1 d 0 d 0 d 3 1 9 (1, 0,−1, 0, 1, 1) 2 9 (0, 1,−1, 1, 0, 1) 3 1 (0, 0, 1, 0, 0, 1) 

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