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Can an exterior algebra $ k\langle x_{1},\dots,x_{n} \rangle/(x_{1}x_{2}-x_{2}x_{1},\dots,x_{1}^{2},\dots) $ can be seen as a skew group algebra?

A skew group ring is defined for example in the introduction of this paper. I read this fact(?) somewhere but I cannot find a group action $G \rightarrow \mathrm{Aut}(k)$ that cooks up the exterior algebra.

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    @JimConant Ah! "Skew" as in skew matrices and skew-symmetry! Natural thing I should have picked up on :) Yeah those two are completely different things in my mind... and they appear to be unrelated terms as far as I can tell.2012-08-14

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If there is such a thing as "Maschke's theorem for skew group rings" (I think one might be proven here), then the answer would often be "no".

Since the exterior algebra of a finite dimensional vector space is a local ring, there is no way it's going to be semisimple (meaning "semisimple Artinian") unless it's already a field (and of course it's not a field, since it has nilpotent elements).