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A Coxeter group      Γ  \Gamma       is right angled if any exponent in the Coxeter diagram is either      2 2       or      ∞  \infty      . Using the action of      Γ  \Gamma       on its Davis complex, we construct a family of cocycles that we use to perturb the left regular representation of      Γ  \Gamma      . In this way, we obtain a family      ( π  z ) | z | &gt; 1 {({\pi _z})_{|z| &gt; 1}}       of uniformly bounded representations of      Γ  \Gamma      , of which the function      g →  | g | g \to |g|       is a coefficient (where      | g | |g|       denotes the word length of      g ∈  Γ  g \in \Gamma      ).

For right-angled Coxeter groups 𝑧^{|𝑔|} is a coefficient of a uniformly bounded representation