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## Section: New Results

### On $SL\left(3,ℂ\right)$-representations of the Whitehead link group

In [9], we describe a family of representations in $SL\left(3,ℂ\right)$ of the fundamental group $\pi$ of the Whitehead link complement. These representations are obtained by considering pairs of regular order three elements in $SL\left(3,ℂ\right)$ and can be seen as factorising through a quotient of $\pi$ defined by a certain exceptional Dehn surgery on the Whitehead link. Our main result is that these representations form an algebraic component of the $SL\left(3,ℂ\right)$-character variety of $\pi$.