Unipotent Representations

Atlas of Lie Groups and Representations

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\G^v	compact	split
compact		orbits and cells representations stability
split	orbits and cells representations stability	orbits and cells representations stability

F₄
G\G^v	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\G^v	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\G^v	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\G^v	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\G^v	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\G^v	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