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Faithful irreducible representation of D8
...
Area of mathematics
Algebra
Representation theory
Irreducible representation
Irreducible complex representations of a finite dihedral group
Two-dimensional representations of a finite dihedral group
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Words: 19
For
D
8
=
⟨
r
,
s
:
r
4
=
s
2
=
1
,
srs
=
r
−
1
⟩
, the matrices
r
⟼
(
i
0
0
−
i
)
,
s
⟼
(
0
1
1
0
)
(86)
define a faithful irreducible two-dimensional complex representation.
Ancestors
(8)
Two-dimensional representations of a finite dihedral group
Irreducible complex representations of a finite dihedral group
Irreducible representation
Representation theory
Algebra
Area of mathematics
Mathematics
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