Representation Theory of Z2*n
Abstract
We study the representations of the group Z2*n, the free product of Z2 with itself n-times. We use the action of Bn = S2 Sn as algebra automorphisms on the group algebra C(Z2*n) to find the components that contain simple representations and to study smoothness of their GIT-quotients. In particular, all the possible local quiver settings are studied for the component containing the standard n-dimensional representation of Sn+1.
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