G = E7, adjoint, quaternionic
G^v = E7, simply connected, hermitian
Note: G is connected
type: E7 ad s
real form: 2
dual real form: 1
Dynkin Diagram:
2

134567
Infinitesimal character of block: rho
Special Special
Orbit Cells Diagram #R A DualOrbit Cells Diagram #R A
E6 0 2022020 1 1 (3A1)'' 2 0000002 4 1
D5 1 2020020 2 1 (A3+A1)'' 1 2000002 4 1
D4 2 2020000 2 1 A5'' 0 2000022 2 1
Fundamental weights lambda_2,lambda_5,lambda_7 are not in root lattice
Infinitesimal character of block = rho
=> allowed infinitesimal characters: #0s on 2,5,7 is even
all orbits allowed