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Low-dimensional linear representations of
Authors:A Potapchik  A Rapinchuk
Institution:Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada ; Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
Abstract:We classify all complex representations of $\mathrm{Aut} \: F_n,$ the automorphism group of the free group $F_n$ $(n \geq 3),$ of dimension $\leq 2n - 2.$ Among those representations is a new representation of dimension $n + 1$ which does not vanish on the group of inner automorphisms.

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