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Irreducible representation

Irreducible complex representations of a finite dihedral group

Two-dimensional representations of a finite dihedral group

{c}

For $D_8=\langle r,s:r^4=s^2=1,\ srs=r^{-1}\rangle$, the matrices
$$
r\longmapsto
\begin{pmatrix}i&0\\0&-i\end{pmatrix},
\qquad
s\longmapsto
\begin{pmatrix}0&1\\1&0\end{pmatrix}
$$
define a faithful irreducible two-dimensional complex representation.


Faithful irreducible representation of D8

Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 1 / 19I / c / ii / Solution

Faithful irreducible representation of D8

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Faithful irreducible representation of D8

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