Atlas of Lie Groups and Representations

(also see Tables of Unipotent Orbits)

Tables of unipotent representations

This page is under construction. It contains tables of all even special unipotent for exceptional groups. It also contains some information on stable sums of these representations, which helps to determine the unipotent Arthur packets.

Information about these files

G2
G\Gv compact split
compact   orbits and cells
representations
stability
split orbits and cells
representations
stability
orbits and cells
representations
stability

F4
G\Gv compact K=B4 split
compact     orbits and cells
representations
stability
K=B4     orbits and cells
representations
stability
split orbits and cells
representations
stability
orbits and cells
representations
stability
orbits and cells
representations
stability

E6 - split inner class
G\Gv compact Hermitian quaternionic
K=F4     orbits and cells
representations
split orbits and cells
representations
orbits and cells
representations
orbits and cells
representations

E6 - compact inner class
G\Gv K=F4 split
compact   orbits and cells
representations
Hermitian   orbits and cells
representations
quaternionic orbits and cells
representations
orbits and cells
representations

E7 - simply connected
G\Gv compact Hermitian quaternionic split
compact       orbits and cells
representations
Hermitian     orbits and cells
representations
orbits and cells
representations
quaternionic   orbits and cells
representations
  orbits and cells
representations
split orbits and cells
representations
orbits and cells
representations
orbits and cells
representations
orbits and cells
representations

E7 - adjoint
G\Gv compact Hermitian quaternionic split
compact       orbits and cells
representations
Hermitian     orbits and cells
representations
orbits and cells
representations
quaternionic   orbits and cells
representations
  orbits and cells
representations
split orbits and cells
representations
orbits and cells
representations
orbits and cells
representations
orbits and cells
representations

E8
G\Gv compact quaternionic split
compact     orbits and cells
representations
quaternionic   orbits and cells
representations
orbits and cells
representations
split orbits and cells
representations
orbits and cells
representations
orbits and cells
representations