Generators and Representations for the Classical Groups
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ATLAS page
Linear groups
See the separate
Linear groups
page.
Symplectic groups
S
4
(2)' = A
6
S
4
(3) = U
4
(2)
S
4
(4)
S
4
(5)
S
4
(7)
S
4
(8)
S
4
(9)
S
4
(11)
S
4
(13)
S
4
(17)
S
4
(19)
S
6
(2)
S
6
(3)
S
6
(5)
S
6
(7)
S
8
(2)
S
8
(3)
S
10
(2)
S
10
(3)
Unitary groups
U
3
(3)
U
3
(4)
U
3
(5)
U
3
(7)
U
3
(8)
U
3
(9)
U
3
(11)
U
3
(13)
U
3
(16)
U
4
(2)
U
4
(3)
U
4
(4)
U
4
(5)
U
5
(2)
U
5
(3)
U
5
(4)
U
6
(2)
U
6
(3)
U
7
(2)
U
8
(2)
U
9
(2)
Orthogonal groups
O
7
(3)
O
8
-
(2)
O
8
+
(2)
O
8
-
(3)
O
10
-
(2)
O
10
+
(2)
Last updated 3rd September 2005
