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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 |
|
G |
K |
#unipotents |
G2(cpt) |
G2 |
1 |
|
Esc7(compact) |
Esc7 |
1 |
G2(split) |
A1A1 |
12 |
|
Esc7(Hermitian) |
E6T1 |
28 |
F4(compact) |
F4 |
1 |
|
Esc7(quaternionic) |
A1D6 |
56 |
F4(B4) |
B4 |
3 |
|
Esc7(split) |
A7 |
252 |
F4(split) |
A1C3 |
75 |
|
Ead7(compact) |
E7 |
1 |
Esc6(compact) |
E6 |
1 |
|
Ead7(Hermitian) |
E6T1 |
23 |
Esc6(hermitian) |
D5T1 |
12 |
|
Ead7(quaternionic) |
A1D6 |
54 |
Esc6(quasisplit) |
A1A5 |
47 |
|
Ead7(split) |
A7 |
252 |
Esc6(F4) |
F4 |
3 |
|
E8(compact) |
E8 |
1 |
Esc6(split) |
C4 |
68 |
|
E8(quaternionic) |
A1E7 |
57 |
Ead6(compact) |
E6 |
1 |
|
E8(split) |
D8 |
362 |
Ead6(hermitian) |
D5T1 |
12 |
Ead6(quasisplit) |
A1A5 |
47 |
Ead6(F4) |
F4 |
3 |
Ead6(split) |
C4 |
68 |
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.
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