Unipotent representations of exceptional groups

These are text files with extensive information about unipotent representations of real exceptional groups. See the README file in each directory for more details.

G₂ F₄ E₆ E₇ E₈

Unipotent representations of real exceptional groups

G	K	#unipotents
G₂(cpt)	G₂	1
G₂(split)	A₁A₁	12
F₄(compact)	F₄	1
F₄(B₄)	B₄	3
F₄(split)	A₁C₃	75
E^sc₆(compact)	E₆	1
E^sc₆(hermitian)	D₅T₁	12
E^sc₆(quasisplit)	A₁A₅	47
E^sc₆(F₄)	F₄	3
E^sc₆(split)	C₄	68
E^ad₆(compact)	E₆	1
E^ad₆(hermitian)	D₅T₁	12
E^ad₆(quasisplit)	A₁A₅	47
E^ad₆(F₄)	F₄	3
E^ad₆(split)	C₄	68
E^sc₇(compact)	E^sc₇	1
E^sc₇(Hermitian)	E₆T₁	28
E^sc₇(quaternionic)	A₁D₆	56
E^sc₇(split)	A₇	252
E^ad₇(compact)	E₇	1
E^ad₇(Hermitian)	E₆T₁	23
E^ad₇(quaternionic)	A₁D₆	54
E^ad₇(split)	A₇	252
E₈(compact)	E₈	1
E₈(quaternionic)	A₁E₇	57
E₈(split)	D₈	362

Unipotent Representations for exceptional groups, and results on their stable sums.
This is an old link which is mostly but not entirely supplanted by the current information. In particular there is information about stable sums of unipotent representations which is not included in the newer files.